ALIENS

Some readers may know that I post on Quora about all kinds of subjects.

I don’t hold back. I write a lot of random stuff that I would never publish on my blog. 

Well, not always.

People want to know — What’s up with all the reports about ALIENS on the internet?

I recently answered a question about “space-invaders” that 10,000 viewers chose to read during the first hour of posting. 

People like to read about aliens — but only if they come from deep space. 

I took the time to work out the answers to several questions.

All true facts. No fake news. No messing with heads.

This stuff is real, people. 

Read, learn, and be afraid. 


Why do people think NASA found an alien base on Jupiter’s moon?

You are referring of course to the moon Europa, which is one of 79 moons that orbit the massive planet Jupiter.

Europa is a perfect place for a base, because the escape velocity is less than 185 mph—easily attainable by small jet-planes and other craft. Europa’s icy surface is smooth enough to land and take off with specially equipped seaplanes.

Plenty of water, plus gravity that is 1/8 of Earth’s, and abundant food resources in the under-ice oceans—Europa is a paradise compared to other moons in the Jovian system.

The Japanese established several bases on Europa in 2007. President Bush — preoccupied by the coming financial collapse of 2008 — decided against a  challenge to Japan’s hegemony.

Obama didn’t want to deal with the hysteria that would follow an official announcement; it would interfere with his passage of the Affordable Care Act.

Trump decided that the Japanese are “very fine people”.  He has fallen “in love” with Europa’s Commander, Admiral Yoko Oh No (the Sumo-wrestler “snowboarder” who poses in the pic below).

The “best people” on the president’s advisory council decided that a “premature” announcement of Japanese sovereignty over an “alien world” would likely undermine the orange man’s reputation for stability and genius—qualities of character they are unwilling to sacrifice to those who might accuse the Donald of being a “nut-case” should he disclose what he knows to a public suffering from TDS (Trump Derangement Syndrome).

So, permit me to answer your question.

Ham radio operators listen in to the communications (in Japanese) between Europa and Earth all the time, but government officials won’t confirm what they have known for nearly 12 years.

Six families own all the media in the world. They won’t report the story, so it remains untold.

In the era of fake news, who will believe truth when they hear it?

Admiral Yoko Oh No — Japanese Commandant, Europa, Jupiter. Reduced gravity makes snowboarding easy for the 400-lb. Sumo-wrestling enthusiast.

Why are aliens so interested in our planet?

Aliens swarmed Earth in the 1950s.

Everyone who doesn’t live under a rock knows it’s true.

The problem for the aliens is they didn’t bring weapons. Many hundreds of the captured are kept in cages in Area 51. Surely, someone “out there” knows about Area 51 and what goes on, right?

Does anyone believe that the computer and iPhone are the product of human ingenuity? Has anyone anywhere ever met a human who is capable of inventing these technologies and building them?

Of course not.

All this “high tech” stuff is always built in faraway countries inside factories no one has ever seen or can ever visit, right?

Has anyone considered that there might be good reasons why no one understands the technologies they are using?

Knowledge is unattainable. Resistance is futile. We all know why.

The orange man puts aliens in cages for a reason. He sucks brains to increase his power.

Challenge the orange man, anyone who is foolish enough to try. They will find themselves “throttled” by Quora, Facebook, and Twitter among other “collaborators.”

Those who don’t believe, look at the view statistics for this post. Though hundreds-of-thousands will see, the “official” view count will never exceed a few dozen.

Upvotes? Forget it.

“They” don’t want civilians to know the nature of the new Earth where “orange man” forces homo-sapiens to languish — suffocated and imprisoned by confusion; overwhelmed by terrors unleashed by ruthless captors of alien hoards.

Another alien swarm from “out there” is making plans to rescue their friends. This time they won’t forget weapons. Meanwhile, they burn forests to deprive Earthlings of oxygen. Once their sapient tormentors are debilitated, the aliens will unload.

After the fluids of humans settle finally into the warm dirt of Earth, it is the human captors — the survivors — who will live in cages.

The aliens plan to convert Area 51 into a zoo where tourists from other worlds can visit to learn about evil humanoids and their orange leader.

Aliens will place the chosen one, with all the reverence due him, into the largest cage of all.


All organisms on Earth are carbon based. Do you think there are silicon based life forms out there?

Silicon based life forms are called “rocks”.

Four phylum of rocks exist: pebble, stone, boulder, and sand.

These life forms move around, reproduce, and sometimes present an aggressive demeanor that can threaten humans.

How many times have we read accounts of boulders cascading down mountains to crush folks who travel unawares on our national highways?

It is almost impossible to eradicate boulders. Even an explosion of many tons of TNT creates instead tens-of-thousands of stones and pebbles. These silicate life-forms are particularly annoying, especially when humans walk barefoot on dirt.

Silicon-based life-forms are an urgent problem that demands to be solved.


Are we watched by aliens?

Extra-terrestrials made their first visits to Earth about 5,000 years ago according to accounts in the Bible and other sources from that era.

They left after exploring nearby planets and moons. They stayed to explore for about a 1,000 years give or take. 

In the 1950s extra-terrestrials returned in force. Tens of thousands of UFO sighting became a matter of public record. The Air Force and CIA spent considerable resources to understand the threat UFOs posed to humans.

What they discovered was a blunder by aliens that no one anticipated.

The aliens came unarmed.

When aliens finished their initial explorations 4,000 or so years ago, they reported to their leaders that life on Earth posed no threat. The need to bring weapons on a second voyage was considered an unnecessary expense, energy depleting, and useless. Leaving weapons behind would save billions of units of whatever currency they were using at the time.

Since the 1950s, a coalition of nations have learned to capture and successfully detain aliens. Many aliens have escaped, but thousands who weren’t so lucky now live in cages in the area numbered 51, which some readers may have read about.

These aliens are essentially prisoners. Some have been trained to communicate with humans.

Information gleaned from interrogations has yielded a treasure trove of new technologies, which have been introduced as rapidly as possible during the past two decades.

It is humans who now observe extra-terrestrials.

The current situation is this: Aliens are preparing to swarm Earth in a “third wave” to rescue their compatriots. This time they will bring weapons.

Trump is currently negotiating with an advanced guard who his advisors refer to as the “Deep State”. The future of Earth depends on the president’s ability to negotiate and to act the “stable genius” people everywhere have learned to believe-in and love.

President Trump is the only one who can save humankind from the alien hordes, who intend to alter forever Earth as we know it through terra-forming.


What makes you sure there are/are not aliens visiting planet Earth?

Aliens swarmed Earth in the 1950s and never left. They occupy many positions of power and influence. Their base of operations is near Lake Vostok in Antarctica.

How can humans identify space-aliens?

The identification process is easy but it takes a little work. Many so-called news celebrities are aliens. Listen carefully for mispronounced words and unusual turn-of-phrases. These are dead giveaways, which are ignored by most people.

Also, search for signs of Botox poisoning. Alien skin sags in Earth’s highly oxygenated atmosphere. Almost all aliens use Botox to prevent the reptilian appearance that frightens so many children. The overuse of Botox can make aliens look like “cat people.” Again, they aren’t difficult to spot if one remains vigilant.

Another identifier is reliance on teleprompters. Most aliens never achieve true fluency in human language, preferring to chirp or hum loudly when not reading from prepared text. Heavy reliance on teleprompters by powerful aliens is one more sure sign that humans should never ignore.

Aliens tend to rule from the right, because conservatives are the easiest people to outsmart. Trump switched from Democrat to Republican to take advantage of GOP stupidity to win the nomination in 2016.

Aliens immediately endorsed him.


What is the likelihood that aliens would be able to decipher the messages on the gold plate on the Voyager spacecraft?



The message on the gold plate is simple: life exists somewhere else.

Aliens who discover the craft will use artificial super-intelligence to decipher its information — if not immediately, then eventually as they develop the capability.

Once the message is unraveled, aliens will know our location and weaknesses. The streaks in the image on the lower left of the gold disc reveal Earth’s location relative to 14 pulsars, which are GPS beacons to any civilization as advanced as ours.


Click pic to enlarge in new window.

Aliens will determine from the materials that make the craft what resources exist on Earth and whether these resources are worth pursuing.

Should aliens decide to visit, they are likely to bring weapons to overwhelm us; they will take whatever they want.

What might they take?

Look at any picture of Earth from space. Isn’t it obvious that Earth is a paradise where water exists in three phases—liquid, solid, and gas (oceans, ice, and clouds)? What alien wouldn’t want to live here to research and perhaps rule to satisfy its idiosyncratic desires?

We’re vulnerable.

How do we defend Earth against aliens who know all about us and our capabilities while we know nothing of theirs?

Thank you, NASA.

Thank you to all the eggheads who may have given our location away to monsters they’ve never met—maybe not now but someday.

Good luck, planet Earth.


Is Russia really larger than Pluto?

It depends on what the definition of “larger” is.

When it comes to demographics, Russia’s population is thought to be much larger but a census of the dwarf planet has yet to be released to the public.

When it comes to nuclear warheads, well… Pluto takes its name from the chemical element plutonium, right? The Plutocrats who run the place keep the number of warheads a tightly-guarded secret but NSA analysis of data gleaned during the recent “fly-by” speculates that the white-planetoid might harbor both the capability and the desire to destroy the solar system.

During recent tests of stockpiles, Plutonians blew up the Kuiper Belt. It’s not something military planners are likely to ignore.

Economy?

Isn’t the answer obvious?

Everyone who’s been there says Pluto boasts the best ski-resorts anywhere.

The Japanese, for some reason, disagree. They ski indoors; the temperature is warmer, which means humans don’t have to “layer-up” or even wear gloves.

Plutonians scoff at amenities like comfortable temperature, oxygen canisters, and helicopter rescue teams who “stand-by” to retrieve tourists who downhill into craters.

In some respects the argument about who is larger, Pluto or Russia, has faded to irrelevance. Revenues from ski-tourism enabled Pluto to buy Russia from the Communists decades ago. Today, Pluto-installed oligarchs have hand-picked the “Orange-One” to tighten Pluto’s grip on power over everything human.

The future of Earth is secure; it’s as solid as ice; it’s as safe as the Kuiper Belt where resistance from Kuiper terrorists evaporated during the plutonium accidents of yesteryear.


Did the USA and Russia find an alien presence on the moon and is that the reason they have not revisited?

The first astronauts who landed on the moon communicated off-line for almost an hour with NASA about structures on the horizon that appeared to be unnatural.

On a subsequent mission, astronauts used a dune buggy to travel to the structures to explore them.

Inside structure two, they found a photograph of a large lizard in a space suit. Other pics showed the lizard naked — surrounded by five other lizards of various sizes.

The surprising part was the conclusion by NSA analysts that the lizards seemed to be frolicking in a water park of some kind.

Subsequent radioactive dating revealed that the age of the structures and photos was 137 million years; everything was preserved in pristine condition — due possibly to the moon’s sterile environment.

No astronaut who was involved in the discovery or the coverup that followed is currently employed by NASA.

Retired astronaut Guy Gizzard works at a zoo near Orlando where he cleans lizard cages. He doesn’t do interviews according to the New York Times.

Why astronauts no longer travel to the moon remains a mystery.


As civilization advances, so does arrogance. Instead of colonizing Mars, why not spend the money to save Earth?

All civilizations approach an asymptotic limit to knowledge and technology that dramatically reduces their odds of survival.

No evidence has yet been found to show that any intelligent civilizations have survived anywhere in the universe — at least in those areas of space where humankind has been able to look.

Should people survive for a few thousand years more, will the evidence for human isolation change?

Maybe not, but it would be good to be proved wrong.


Billy Lee

Disclaimer by the Editorial Board:  Despite what Billy Lee claims, we warn readers that no one has been able to verify anything he wrote.     

LAMBERT W FUNCTION

Added May 15, 2026: Sample problems with solutions provided at end of essay. The Editors

Can anyone calculate by hand (without a calculator) the square root of 5.71 ?  How about the two-dimensional complex number (4 + 2.53 i ) ?  

Of course not. Normal people who are not mathematicians punch these numbers into calculators or math apps on their iPads and computers to calculate the answers.

Without iterating — that is: guessing, deriving a result, and then zeroing in with better guesses) — finding the square root of 5.71 requires knowledge of some arcane mathematics. No one labors by hand to find the answer, which is 2.38956… .  It’s the principal square root, of course. 

How does anyone iterate to derive the square root of the complex number (4 + 2.53 i ), which happens to be (2.0896… + .606375…i ) ?  It is also a principal square root.  What are the others?  Is there more than two? People use calculators and pewters to find out; there is no easier way. 

In high school and basic college math courses, people typically learn to solve algebraic equations. A typical algebraic equation looks like

2x^2=4  …right?

They have polynomials with integer coefficients. The solution is x= \sqrt{2} , which in this case is an algebraic irrational number. Equations like trig and log functions that transcend algebra (called transcendental equations) are taught maybe to engineers and science majors; math majors, of course, don’t struggle with this stuff. It’s why they are math majors.

Several categories of transcendental equations are commonly encountered in the sciences. Many simple problems can be solved by Newton’s Method, which is taught in basic calculus. I won’t explain the method in this essay. Folks can click on links to learn more if they want. 

A category of transcendental equations that can get complicated is of the general form

y = {xe^x}

The biggest problems arise when “y” is known, but “x” isn’t. How to solve for “x”?

Any transcendental equation that is able to be transformed into the form xex can be solved for “x” using the Lambert W function. The equation can be inverted into the form,  x = W(y).  People are going to have to take my word, for now.  

The math behind the Lambert function is mind-bogglingly complicated to most people. The function can sometimes require unusual and involved “series expansions” and transcendental-styled integrals that are not possible to solve easily or quickly without a computer.  

The Lambert W function (sometimes called the omega (ω) function or the product-logarithm function) is not a key or button that can be pushed on most calculators. However, math apps like Wolfram Alpha and Mathematica use it, sometimes to solve transcendental problems in the background when equations that need solving aren’t so easy. 

Omega functions are almost always many valued, because once an equation is inverted there are usually many paths that lead back to the original equation. The useful solution requires picking the principal solution, which is the number identified by subscript 0.

I ran across a transcendental equation on the web that is perfectly suited to teach the “ω” method. Here it is:

\frac{x^3}{24} - ln(x) =0

I want to solve it to demonstrate how to use the ω method for transcendental functions that aren’t otherwise so easy to work out.  I challenge anyone to solve this equation using Newton’s Method or other iterative techniques. Most will struggle to the point of pulling out their hair, probably. And they will waste time. Yes, it can be solved by those techniques. 

We will solve this equation step by step using the Lambert method shortly. Meanwhile, here is the strategy:

1. Substitute an exponent function (et) for “x” everywhere in the expression.

2. Manipulate the equation into the form: 

                    y = e^t(e^{e^t)} 

3. Invert the equation to introduce the ω function. 

4. Use the ω function to solve for “t”.

5. Write out x = et  using the expression derived for “t”.

6. Solve ω(y) using WolframAlpha or any other app with the capability. 

7. Use the value of ω(y) to solve for “x”. 

Each step of the strategy will be identified by numbers 1-7 in the solution below. 

Here’s the thing:

In this problem it turns out that there are four ω values of y, which will generate two real solutions and two complex solutions. These omega values are:

ω0(y)
ω-1(y)
ω2(y)
ω1(y)


Inverting the equation to introduce the omega function creates solution branches, some real, some complex, which are layered sequentially and labeled by integers from minus ∞ to plus ∞.  In the example, real solutions lie on grey and yellow spiral surfaces numbered 0 and -1.  Complex solutions lie on red and green spiral surfaces numbered -2 and 1. Omega subscripts in the list above this graphic identify the spiral layer where the solution for its omega value is located.

WolframAlpha will generate all the solutions automatically; no need for the user to understand anything. People can punch in the original equation and trust the answers the app returns.

But the solution steps that follow are fashioned to demonstrate how the problem is solved when all anyone has is an algorithm to generate the values of the omega functions. Omega functions are difficult to solve without using certain algorithms involving integrals and expansion series on robust computers.

The process that surrounds the computation of omega values, which permit the working out of the appropriate values (the right answers) to the kind of equation I will soon solve is interesting and enlightening, at least for me, and hopefully for certain readers. 

Some folks will appreciate the insights this exercise provides. 

Having knowledge will make the Lambert process that is used to solve certain transcendental functions less mysterious. Of course, one can always take the time to learn the expansion series and integrals. In some cases, Newton’s Method can generate the values.

Unless humankind loses the technology of computers, I don’t think it is a good use of time and resources to learn the series, integrals, and algorithms that generate omega values.

Let’s face an unpleasant fact: most of us aren’t going to live more than 80 years or so. We don’t have time to waste. For some folks, knowing how to use and apply the functionality that surrounds the Lambert function to give it power is enough to make life worth living. Count me in.

No one needs to wade through the jungles of series expansions and transcendental integrals. Let math apps do the tedious work, knowing full well that any interested person can master whatever they choose if necessary, but someone already did the work. Why duplicate the effort?

I want to solve novel functions — complicated formulas that transcend algebra. Understanding the process that solves these equations is fascinating. It’s not as rewarding to tread over mathematically esoteric ground already mapped by experts who are far more able than people who spend most of their time working in other fields.

Here is the solution process:

What we know:

IF              y = f(x) = xex  
THEN     x = ω(y)   [where “ω” is the Lambert W function] 

Solve:
\frac{x^3}{24} - ln(x) =0

LET                  x = et

(1)   THEN         \frac{e^{3t}}{24} - ln(e^t) =0

                              \frac{e^{3t}}{24} - t =0

                              \frac{e^{3t}}{24}  = t

                              (\frac{1}{24})e^{3t} = t

                              \frac{1}{24} = te^{-3t} 

(2)                         (-\frac{1}{8}) = (-3t)e^{-3t} 

Referring to “what we know“, the equation is now in the desired form 

y  =  xe
x  

where “y” is equal to (-\frac{1}{8})   and “x” is equal to “-3t “, right? 

We are now free to use the omega operator to “invert” the equation into the following form:  x = ω(y)

(3)                         (-3t) = ω (-\frac{1}{8})

(4)                   t = (\frac{-\omega(-\frac{1}{8})}{3})

Notice that we have worked through step (4) of the strategy.  I don’t like the way the formula generator writes the Greek letter omega (ω), because it’s hard to read. From here on, I will sometimes use “W” instead of “ω” for readability. It shouldn’t confuse anyone.  In this essay, consider W and ω the same symbol, please. 

On to step (5).

SINCE                           x = et

(5)  THEN                    x = e^{(\frac{-W(-\frac{1}{8})}{3})}

I need to know what 0(-1/8) equals so that I can use it to compute one of the values of “x”.  As mentioned above, three more omegas with three other subscripts (-1, -2, and 1) are needed to compute all four of the solutions to this equation.

How does anyone know how many solutions the original function has? How does anyone know what subscripts are required? 

This is where someone who doesn’t have a masters degree in mathematics  needs a math app like Wolfram Alpha or its cousin, Mathematica. Otherwise, they have to work series expansions or difficult integrals to derive the omega values associated with (-1/8).  Who wants that?  Not me. 


Here’s the series expansion for ω0(-1/8) according to Wolfram Alpha. Who wants to compute it?

Here are two integrals for ω0(-1/8). My advice is to use the second integral, anyone who has the guts.

OK. In WolframAlpha, you get the omega value ω0 for (-1/8) by writing the expression -W[0,-1/8] in the input line at the top of the page. It shoots out the answer and links to its derivation.

It’s so simple. Other math apps might use different notation. I don’t know, because I don’t use other apps. 

Inside the brackets, the “0” is the subscript on ω, and the “-1/8” is the “y” value, right?  So, in addition to -W[0,-1/8]  it is necessary to input:   
-W[-1,-1/8] 
-W[-2,-1/8] 
-W[1,-1/8]
to obtain the three other omega values, right?

The omega values returned are the following:

1.4442135…
3.2616856…

4.21446… + 7.33231…i
4.21446… – 7.33231…i

The ω function values for -1/8 are two real numbers and two complex numbers. I am going to solve the original equation for only the first real number omega value to demonstrate the method.

Here it is:

INPUT                                       -W(-1/8) or -W[0,-1/8], both work for ω0

(6)  OUTPUT                          +0.14442135…

COMPUTE                              t =  (\frac{-W(-\frac{1}{8})}{3})

                                                      t = \frac{1.4442135}{3} = .04814…

SINCE                                       x = et

THEN                                        x = e.04814…

 (7)  SOLUTION                    x = 1.04931755…

CHECKING                             \frac{x^3}{24} - ln(x) =0

BY SUBSTITUTION          \frac{1.0493...^3}{24} - ln(1.0493...) = 0

VERIFICATION                     .04814… – .04814… = 0

CONCLUSION:  The transcendental equation which is the focus of this essay can easily be solved and verified by simply punching the equation into the input field of a math app like Wolfram Alpha or Mathematica and reading off the answers.

We didn’t perform the simple procedure, because I wanted to share how the Lambert W function fits into the solution process for solving equations. 

In truth, all four ω values must be gathered so that the three other “x” values of the original equation can be derived. 

In this example, one of the other solutions will be real; the other two, complex. The screenshot below from Wolfram Alpha demonstrates how these four values are displayed. Of course, by clicking links the app will reveal much more.

Wolfram Alpha enables users to input transcendental equations and quickly view answer-sets and methods of computation.

I would be remiss to not mention a famous formula for calculating to what number a fraction raised to successive powers of the same fraction converges.

(The range of numbers where this formula actually works is between e−e and e1/e,  that is, between .065988… and 1.444667861… .)

Take a number like ½ (0.5).  Raise it to the 0.5 power; raise it again and again to the same power over and over an infinite number of times; the number will converge to a specific value.

What number? How in the world could anyone figure it out without repeating the power-raising process an annoying number of times? 

It turns out that a formula involving the Lambert W Function yields up the answer easily. 

The formula is:

# = \frac {-W[0,(-ln(x)]}{ln(x)}

Put the following expression into the INPUT line of WolframAlpha: 

-W[0,-ln(.5)] / [ln(.5)]

Click ” = ” — or hit “ENTER”. 

The OUTPUT is: 0.6411857445049859844862…

Compare this result by taking the exponent (0.5) of 0.5 twenty times by hand (on a calculator). The answers will agree to 7 decimal places. Fifty “tetrations” will bring greater agreement if your calculator can parse the answer.

Who has the time?  

Billy Lee

NOTE from the EDITORIAL BOARD: Billy Lee was unable to find an appropriate video about the Lambert function on YouTube, or we would have posted it. Most folks capitalize the Greek letter omega (Ω), but in this essay, Billy Lee didn’t, preferring instead to use little (ω), because it looks more like (W).

Who on the BOARD  would dare argue?

Apparently, no one. 

Another reason is that Ω is sometimes given the value 0.567143… , which is known as the omega constant. Why confuse things?

The video above starts a discussion of the Ω function at 16:30.  The Lambert W function is derived for ΩeΩ  = 1  at 18:00.  The first sixteen minutes and thirty seconds show how to use Newton’s Method to solve the equation. Some readers might want to skip the first 16 minutes; others will enjoy them.

Who knows?


ADDED April 25, 2026

Recently Facebook, in its feed, published math puzzles like this one:

xx = 9

What does “x” equal?

X is exponent in transcendental equations like these, which are easily solved using Lambert. 

xx = 9

x ln x = ln 9

LET  x = et

SUBSTITUTING   eln et = ln 9   {~2.1972, right?}

THEREFORE   et t = 2.1972

 OR  t et = 2.1972

LAMBERT SAYS   t = W [0, 2.1972]

ENTER  W [0, 2.1972] into Wolfram Alpha to get ~.8965

t = .8965, right?

BUT  x = et

THEREFORE  x = e.8965 = ~2.7183.8965 = 2.451

ANSWER  x = 2.451

CHECK  xx = 2.4512.451 = 9

QED


Here’s another cool problem. What does k equal?

49 = k14

k ln 49 = 14 ln k

k ln 72 = 14 ln k

2k ln 7 = 14 ln k

\frac{2k ln 7}{14} = ln k

\frac{k ln 7}{7} = ln k

LET k = ex

ex \frac{ln 7}{7} = ln ex

e \frac{ln 7}{7} = x

e = x \frac{7}{ln 7}

1 = x / ex  \frac{7}{ln 7}

-1 = -x e-x \frac{7}{ln 7}

\frac{-ln 7}{7} = -x e-x

LET -x = t

\frac{-ln 7}{7} = t et

equation is now in correct form. 

t = W \frac{-ln 7}{7}

PUT W[0, \frac{-ln 7}{7}] INTO WOLFRAM ALPHA

t = -.42536…

BUT x = -t

x = .42536…

BUT k = ex

 THEREFORE  k = e .42536

ANSWER  k = 1.53014

CHECK   49 1.53014 = 1.53014 14

385.688… = 385.688…

QED

Should be mentioned that there are many solutions to this equation as anyone would assume after reading essay above. Wolfram will provide them. However, an integer answer exists that can be solved by inspection. 

k ln 49 = 14 ln k

Make the base 49 to make ln 49 disappear.

k ln49 49 = 14 ln49 k

k = 14 ln49 k

Since by definition logs are exponents acting on a base (in this case 49), a sharp-eyed reader might notice that base 49 is the square of the number 7.  The square root of a number is its 1/2 power, right?

491/2 = 7

IF   ln k = 1/2

THEN   14 * 1/2 =7 = k

ANSWER   k = 7

CHECK  49= 714 = 6.78223…E11

QED


Billy Lee

 

GOOSE LAKE

ESSAY CONTAINS ADULT CONTENT

The 300,000 people who attended the Goose Lake International Music Festival on the east side of Leoni Township in Michigan during August 7-9, 1970 were mostly middle-class college dropouts like myself.



I dropped out in June—two courses short of a degree—to evade being shipped to southeast Asia to kill “gooks”. The university ROTC program trained future officers to lead Army combat platoons—destination Vietnam.  After hearing horror stories from returning GIs during advanced infantry training at Fort Riley, Kansas, I was having none of it.

Who calls air-strikes on kids younger than themselves they don’t know, have never met, and who did nothing wrong—other than look different? Who deserves to be torched alive with fire jellies called napalm and chemically seared by burn agents like white phosphorus? Nothing any military professor taught at the university convinced me that waging war for no good reason was the way honorable people earned a living.

I wasn’t going to make a career out of killing people. I wasn’t going to spend five minutes destroying farms, livestock, and families to test the nation’s weapon-systems on human beings. 

Read Being Hated to learn what my options were. 

I made a decision certain to impact the future. Resigning my officer’s commission in the United States Army would shut doors; I had no idea at the time how many.  Attending a music concert with new found friends who were unschooled in military discipline seemed like a good idea. My mother, working alongside the Navy pilot she married, bred and raised me for military life. It seemed that now might be the right time to learn another way.  

At Goose Lake almost no one brought cameras.  None in my group knew anyone except possibly their parents who owned movie cameras.  In 1970, only rich folks owned color movie cameras with sound; still-pics were what ordinary parents took of their kids, mostly in black and white. Color cameras and film were expensive back in the day. Most movie-camera brands lacked sound. 

It was a different time.

The photo and video records of the Goose Lake International Music Festival are almost non-existent as far as any web search done by me can tell. What video and pics remain are grainy, mostly black and white, and frankly depressing as hell, many of them. 

No one showed up to produce a movie like they had at Woodstock in August 1969, the previous year.  Woodstock, the Movie (edited by Martin Scorsese and Thelma Schoonmaker) rolled into theaters across the USA in March 1970.

A whole lot of folks from Michigan decided to recreate the Woodstock Music Festival experience at Goose Lake. Within five months of Woodstock’s movie release, they managed to turn the fantasy viewed by most in theaters into a real-life, real-time spectacle for well over a quarter-million people.


Goose Lake was wild.  

Note:  (Click map to enlarge in new window) Billy Lee and friends camped in Sunmeadow, he thinks. It could have been Strawberry Meadow. It might have been somewhere close to Layalot. One thing Billy Lee remembers for sure… he couldn’t find the beach. Stoned Beach sounded great but he was wasted and couldn’t find it. He might have used a good map; he doesn’t remember seeing one until he searched the web for this essay—almost 50 years after.  He says he thinks he remembers that promoters forced folks to buy entry tokens to get maps. Billy Lee claims he can’t remember buying tokens or even how he found the concert grounds or exactly how he managed to get in.  He has no memory of the drive home. The Editorial Board

My new, radical friends brought to Goose Lake no change of clothes, no food, and no dope. They didn’t want to get busted by the pigs; everyone figured if we got hungry, food-stands would sell hot dogs to help get us through. We brought pocket change and pup-tents, nothing more. The way things went down, money (we called it “bread“) became the one thing we didn’t need. 

We would require real bread—the kind people eat; readers will learn that some folks—like my group of friends—nearly starved at Goose Lake. 

The concert turned out to be completely free once we worked our way inside. A fuzzy memory says we might have snuck in (like tens-of-thousands of others) through cuts in the barb-topped, chain-link fence erected to encircle the grounds and control the crowds.

I don’t remember anyone having money at the time to actually purchase $15 entry tokens, which have become collector items worth more now than then. ($15 in 1970 was equivalent to about $125 today.)

I remember the Goose Lake International Music Festival as a vivid technicolor freedom party.


Click pics, like this map, to enlarge for viewing.

In five days (we arrived early; stayed late), I learned more about anarchy—good and bad—than I learned during the following two years protesting the Vietnam war in the streets and the copy rooms of Joint Issue, the “underground” antiwar newspaper my closest friends published. 

Goose Lake became for me the trip of a lifetime. This essay is an attempt to remember what I can before memories fade and go missing forever. 

The first lesson learned was that people in America—white people who looked like me—used and were addicted, some of them, to heroin. I didn’t see anyone use heroin before Goose Lake.

Come to think of it, I don’t remember black people at Goose Lake, either. Through the lenses of today, the event might have seemed to the uninitiated like a gathering of white-supremacist men. Women attended, sure, but they made up not much more than a highly-desired minority—maybe 30%. 

Heroin was what blacks ingested—that’s what white folks told themselves, anyway. It was the crack-cocaine of the 1960s and 70s. Whites didn’t do “hard” drugs—not according to news reports, which naive suburban kids who smoked weed suspected might mostly be sort of true but maybe not. 

A black kid I worked with at Arlington National Cemetery trimming gravestones during summer confessed he tried it. He said heroin was so good he promised Jesus then and there he would never touch it again; he knew right away that if he shot it twice he would be toast—a lifelong addict with no hope of rescue this side of heaven. 

What he shared was pretty much all I knew about a “hard” drug everybody heard of but no one used.


Admission tokens cost $15 and came in all colors, including red (not shown). Because fences topped with barbed-wire blocked entry, folks who didn’t buy tokens wire-cut their way in.

At Goose Lake we arrived early. My friends sat on a slope looking down onto a dirt parking lot. Cars, buses, and campers rolled-in like waves on a brown ocean. Dust hung in the air.

One car weaved; the driver seemed unable to negotiate a simple parking space. The car crawled almost to a stop when the driver-side door swung open; a guy in a white tee-shirt slow-motioned out the door—would he puke? As the car continued to inch forward, he plopped face down. Dust kicked up. His head hit hard. 

The car rolled until it struck the back of a parked car. The door on the passenger-side jerked open. A girl leaned out; she fell like a sack of flour into the dirt.

The couple had finally made it to Goose Lake from wherever they came. Wrecked on heroin (or worse), they lay on the dusty lot for a while before dudes who wanted their blocked parking space got involved.

Maybe the couple ended up at the medical tent; maybe they recovered. I never learned what happened to them.

Things started moving faster; it was all anyone could do to keep up. As the festival revved—when security broke down, which as far as I could tell was before we got there, before the gates opened—pushers sold heroin in open markets to anyone who wanted to try; many did.

By the end of the festival, dealers were passing heroin free to anyone because they feared the gauntlet of police waiting outside the gates would arrest them on the way out. Festival goers heard that pigs were lined up at every exit and highway on-ramp to take revenge for being overwhelmed by the crowds.

When the time came for the festival to end, some people would be terrified to leave. 

The folks who owned the food stands stupidly closed them the first night. Hungry people broke them down and took everything. By morning when my group went for breakfast, every concession stand was rubble. We wouldn’t eat again for three days. 

As we stood around in shock wondering where to get food, semi-trucks rolled in loaded with tens-of-thousands of freezer-bags full of freshly harvested marijuana. Farmers from who knows where made Goose Lake a free pot zone. They tossed bags of grass from the back of their trailers for hours. 

Someone brought papers. We rolled joints and stuffed them into empty cigarette packs—about 30 joints to a pack. For the rest of the festival we chain-smoked dope morning, noon, and nighty-nite-nite. Never before or since would I ingest as much THC.

Michigan grass is green and fresh; when lit, it smells like freedom. The farmers at Goose Lake brought their best weed and gave it away. I never understood why. Smoking weed was supposed to induce “the munchies.” I learned that you forget about hunger when you’re high enough. 

At night I dreamed vivid dreams, not about sex, as was my habit during youth, but about baked potatoes piled high with butter and sour cream; steaks bleeding blood on the inside but burned black and crunchy on the outside coated with A1 sauce and spicy mustard; fresh cooked beans steamed in oil with lots of salt…

Dreaming about food made me feel joyful; glad to be alive. I knew I would eat these foods again and soon; I would ravage them with the appreciation deprivation provides. It is good to go without sometimes. It really is. Anyway, an unlimited stash of free dope lifted my spirits. 



The music performed was uneven. Some groups came prepared to play; others, not so much. Music became a less interesting part of the festival, at least for me. A girlfriend who traveled with another group wandered around until she found me. She asked if I might try some mescaline someone gave her.

She said she wasn’t sure what it really was; it might be acid mixed with sedative; it might really be mescaline—an extract of peyote; all she knew for sure was that whoever gave her the pills promised it was mescaline. 

I said, “Fine. Let’s drop some tabs an hour or so before the band Chicago performs. We’ll get off as the music starts.”

The night was going to be black and warm with a sky full of stars . My girlfriend promised to stop by my tent after the music started. She’d be high; we’d watch and listen together. I said, OK. 

Night fell. I remember seeing light flash in streaks off gold trombones. Trumpets spit bursts of photons in all directions. The stage sat far away but was brightly lit. I saw sparkles of color flying off the edges of every item that shimmered.

I possessed the eye-sight of a predatory bird in flight. The music played crisp and clear. Percussive sounds splashed like warm rain across my face. I wanted to cry but amazement overwhelmed me.  

My girlfriend showed up more or less on time and began to sway. I looked at her body, which I saw clearly through her dress with x-ray vision. My soul ached with desire. When I touched her she placed a hand on mine. Her dark eyes dilated—as I knew mine had. She leaned forward. “Want to?” she said. “I can’t believe how wet I am.”

We moved into the tent where she lifted her dress and wrapped her legs around me. I buried myself inside. We breathed heavy and made desperate sounds, which before mescaline we didn’t make.

Orgasm was intense. It took my entire existence. It lasted a lifetime inside a tent with its front flap open to the stars, music pouring in, and my newest friends nearby. 

She, darling comrade whose name I’ve since forgot (God, forgive me), said something I won’t forget. “Billy!” she breathed. “I felt your orgasm—inside me. I felt it!” 

Outside the tent, I stretched and yelled a grateful shout. One of the girls in my group poked her head out of the tent beside ours. “You shout after you ball? You are maximally stupid!

The drug lasted. I wasn’t sure I would come down. Everything everyone said and did seemed to emerge somehow from an ocean of pearl-stones; miracles floated in the air like soap bubbles. I loved my mother—Gaia Earth—and everyone she carried with me, which included the girl in the next tent who called me stupid.  

Without thinking or knowing what she had done, the other girl popped the biggest bubble of the most mystical moment of my life. It didn’t matter until decades later when memories were all I had left. Only then did my heart ache when I discovered I could no longer bring up the names of anyone I knew at Goose Lake. I forgot them all. 


I saw bad things.

Iggy Pop of the Stooges performed after; he tried to bum the crowd by pivoting his play into a Pandora’s mess. While some started to flip-out and boo, I disassociated myself from the chaos. I witnessed bummer-terror sweep through the throng in the same way an entomologist might watch ants at war.

It was fascinating; entertaining, really. I floated like a prehistoric bird above the fray—superior to mortal sapiens who suffer in every way; I remained untouched by the vagaries of silly human cruelty. 



A tall, thin kid got scared. He freaked-out. His acid trip went terribly wrong when he walked into a campfire where his ankles burned. I remember swarms of embers scattering like fireflies; he clawed the air howling like a wolf. A few folks managed to rescue and drag him flailing and kicking to the medics. He became a screaming madman. What happened later, I didn’t learn. 

People built a mud pit, or something like it, near the stage. I heard folks say that a lot of people, mostly guys, were throwing themselves naked into the goo and wrestling in a huge pile. A girl in our group was there and ran back to tell us, “Guys are raping girls in that pit!”

No one believed her. No one went down to the stage area to check. The crowd was dense. You had to push and shove and step over people to get anywhere. Most folks like myself weren’t up for it. 

The next day around noon, the Chief of Police walked into the crowd. He chose to wear coat-and-tie to conceal his identity. In that mass of half-naked, un-washed hippie-freaks, he stood out like a bulldog in a china shop.

A line of kids formed behind him. It grew to be hundreds as he made his rounds to inspect festival conditions and assess the level of lawlessness. The kids behaved like happy third-graders as they started chanting and singing. Some offered the bulldog dope. They thought they might “turn him on” to “our side”.  

I think the Chief was surprised to get out of the park validated and unharmed. Had there been an incident, it’s hard to know now what his back-up plan might be. He had an army of thousands outside the park. Maybe undercover cops dressed like hippies watched his back.

Who knows?

After a few days, we started to starve. Someone noticed field corn growing across a nearby road outside the fence. It’s fed mostly to pigs but we thought, hey, we’re starving. It’s corn. How bad can it be?

Someone said, “The corn isn’t ours. We can’t take it.” 

“Bullshit,” someone said. In minutes one of our own left to cut through the wire barricade; he returned carrying a few dozen ears, which we threw—husks and all—on the coals of our campfire. With mouths watering like sprinklers, we were able to remember to retrieve the corn before it burned.

We shucked and ate. It’s true what people say. Anything edible tastes good when you’re starving. I thought at the time that it was the best tasting corn of my life. To think that farmers fed it to pigs! The world starves, but American pigs eat like royalty.

I haven’t eaten field corn since. 

On the last day a farmer drove into the campgrounds with a semi-trailer stuffed with raw potatoes. Soon, our group had all the potatoes we could carry.

It was the first time I ate raw potatoes. We had run out of wood for the fire. The potatoes were free like everything else but unwashed. We brushed off the dirt. They tasted great.



When we decided to leave, the crowds had thinned. We fully expected to be arrested. We got rid of our dope, which was worth hundreds-of-dollars outside the festival. Today it would be thousands-of-dollars.

We left it behind for the cops. I wonder what they did with it. Concert goers left behind an enormous stash worth, I don’t know, maybe millions. No one will ever know. Anyone who knew told no one as far as I’m aware.

We left without incident. The cops disappeared; they let us leave. They arrested nearly 200 people we learned later. I didn’t see any of it.

When I got home and the drugs wore off, I got scared. My stomach caught fire; I thought I was losing my mind. I couldn’t shake the fear. It occurred to me that I was going to have to kill myself. 

I went to an emergency room doctor I knew who gave me a week’s supply of valium. I took it for three days. When I stopped, I felt fine. 

My biggest regret is that I didn’t visit the lake. It was there, somewhere, but I never saw it or swam in it. The crowds were huge. A trip to the Goose Lake beach wasn’t worth the hassle, my friends decided. If we went and left our stuff, someone might cop our dope. It was better to groove by our tents and dig the music whenever musicians decided to play.



Is there a better way to end an essay than to provide readers with a pleasant, commemorative link?  Click below to view a Facebook video from another perspective. 

Remembering the Goose Lake Music Festival by Magic Bus

Billy Lee