Pi is exactly THREE!!!

[Soccer55]

log ((x+90)/x) - 2 = log (x/(x+90))

This is simply the equation you need to solve the problem that comes from the information that was given in the problem
"The logarithim of a rational number exceeds the logarithim of it's reciprocal by two, and it's numerator is 90 more than the denominator. Find the rational number."

log (x+90) - log x - 2 = log x - log (x+90)

Since log (a/b) = log a - log b, the logs with the fractions were separated

2 log (x+90) - 2 log x = 2

log (x+90) and 2 were added to both sides, and log x was subtracted from both sides to simplify the equation

log (x+90) - log x = 1

Both sides of the equation were divided by 2 to simplify

log ((x+90)/x) = 1

Again, log(a/b) = log a - log b was used, but this time to combine the logs into 1 log

(x+90)/x = 10

Since log 10 = 1, (x+90)/x = 10 must be true

x + 90 = 10 x
9 x = 90
x = 10

This was the solution to the equation (x+90)/x = 10

(x+90)/x = 100/10

Since x = 10, 10 was substituted for x in the equation


-Tom

 

[xirtam]

That was a cruel, cruel trick.

You have lost your talking stick.

Pi is much closer to 3.141592653589793238462643383279502884197169399375105 than it is to 3.

 

[Geagle]

Where did you pull that from? Iraq's literacy rate is only 60%...

They still have much more skilled workers.

😉

 

[Martin]

Originally posted by: ArmenK
log ((x+90)/x) - 2 = log (x/(x+90))
log (x+90) - log x - 2 = log x - log (x+90)
2 log (x+90) - 2 log x = 2
log (x+90) - log x = 1
log ((x+90)/x) = 1
(x+90)/x = 10
x + 90 = 10 x
9 x = 90
x = 10
(x+90)/x = 100/10

Look no further 🙂

 

[Crimson]

I did fairly well in school.. about a 3.3gpa in high school.. nothing spectacular, but decent.. I look back on my high school days and wonder WHY I wasted so much time on things like this.. there is NO reason to learn this stuff unless your goal in life is to be an engineer, scientist, etc.. We should spend more time teaching people useful skills rather than this hypothetical crap.. I know it has its place, but honestly what good does it serve 99% of the students?

I'm 28 years old, have a pretty damn good paying job.. and never once in my career have I EVER needed to use a log function...

Tell the teacher to shove it up his ass, start learning something useful in a different class, and tell him you will be taking premium in your new BMW in a couple years, and he better not spill any on your paint when he's pumping it..

🙂

 

[MournSanity]

Soccer you are GOD!!!!!!!!!!!!!

 

[Dolemite76]

Soccer55 got it broken down just right... just use this explanation for your presentation tomorrow... and don't worry about foreign math teachers... seems these days most of them are foreign... my favorite math teacher at my university is from Morroco (i hope i spelled it right)... so long as your teacher (foreign or domestic <you would think i'm talking about beer>) knows his stuff and is hard as hell... you'll come out learning something... sad to say... even if you flunk... GOOD LUCK!!!

 

[Whitecloak]

if pi were 3, circles would be hexagons.

 

[Legendary]

Originally posted by: whitecloak
if pi were 3, circles would be hexagons.

😕

 

[GoodToGo]

Originally posted by: Crimson
I did fairly well in school.. about a 3.3gpa in high school.. nothing spectacular, but decent.. I look back on my high school days and wonder WHY I wasted so much time on things like this.. there is NO reason to learn this stuff unless your goal in life is to be an engineer, scientist, etc.. We should spend more time teaching people useful skills rather than this hypothetical crap.. I know it has its place, but honestly what good does it serve 99% of the students?

I'm 28 years old, have a pretty damn good paying job.. and never once in my career have I EVER needed to use a log function...

Tell the teacher to shove it up his ass, start learning something useful in a different class, and tell him you will be taking premium in your new BMW in a couple years, and he better not spill any on your paint when he's pumping it..

🙂

The reason the teacher is giving a problem like that is to force him to think clearly. Everyone uses calculators in college anyways but you should know basic concepts very well. Its the first step towards becoming an engineer, doctor whatever. I just completed my engioneering so I realize its importance. Curse the teacher all you want, he's doing it for your own good.

 

[gopunk]

Originally posted by: Crimson
I did fairly well in school.. about a 3.3gpa in high school.. nothing spectacular, but decent.. I look back on my high school days and wonder WHY I wasted so much time on things like this.. there is NO reason to learn this stuff unless your goal in life is to be an engineer, scientist, etc.. We should spend more time teaching people useful skills rather than this hypothetical crap.. I know it has its place, but honestly what good does it serve 99% of the students?

I'm 28 years old, have a pretty damn good paying job.. and never once in my career have I EVER needed to use a log function...

Tell the teacher to shove it up his ass, start learning something useful in a different class, and tell him you will be taking premium in your new BMW in a couple years, and he better not spill any on your paint when he's pumping it..

🙂

i don't see why it's necessary to be so rude. the teacher is just doing his job.

not to mention, what's the harm in teaching a little math? if you're not going to use it, then don't use it, if you are, then great. i'd rather err on the side of teaching too much, then on the side of teaching too little.

 

[loup garou]

Originally posted by: Crimson
I did fairly well in school.. about a 3.3gpa in high school.. nothing spectacular, but decent.. I look back on my high school days and wonder WHY I wasted so much time on things like this.. there is NO reason to learn this stuff unless your goal in life is to be an engineer, scientist, etc.. We should spend more time teaching people useful skills rather than this hypothetical crap.. I know it has its place, but honestly what good does it serve 99% of the students?

I'm 28 years old, have a pretty damn good paying job.. and never once in my career have I EVER needed to use a log function...

Tell the teacher to shove it up his ass, start learning something useful in a different class, and tell him you will be taking premium in your new BMW in a couple years, and he better not spill any on your paint when he's pumping it..

🙂

Even if you don't become an "engineer or scientist" the organizational and problem solving skills learned from higher math will benefit you in almost any career.

 

[Whitecloak]

Originally posted by: Legendary

Originally posted by: whitecloak
if pi were 3, circles would be hexagons.

😕

pi is the ratio of the circumference to the diameter. In the case of a hexagon, it works out to be 3. hence my previous statement.

this reasoning is actually meant to be a joke. dont use it anywhere 😀

 

[Bkas]

Jesus. Don't solve it for him, let him learn it himself.

 

[Balthazar]

Originally posted by: reitz

If you didn't know, Iraq's (and most other countries') education system is better than that of the US.

Where did you pull that from? Iraq's literacy rate is only 60%...

He pulled it from his rear-end.

Exactly 90% of statistics are made up.