Which of the quantities is greater, e^π or π^e?

e^π 25 62.50%
π^e 11 27.50%
They are equal 4 10.00%
Voters: 40. You may not vote on this poll

For you Math Folks: WITHOUT A CALCULATOR, Which is Greater: e^π or π^e ?

12
Comment below rating threshold, click here to show it.

X5TeRraN

Member

01-23-2013

YOU CANNOT USE A CALCULATOR OR ANY KIND OF MECHANICAL DEVICE TO SOLVE THIS PROBLEM. Only pencil, paper and your brain.

You're welcome to leave your thoughts in the posts below if you so feel like it. Good luck!


Comment below rating threshold, click here to show it.

Jamaree

This user has referred a friend to League of Legends, click for more information

Senior Member

01-23-2013

Screw you, I'm a cheater.

e^pi is greater.


Comment below rating threshold, click here to show it.

SPIKE SPlEGEL

Senior Member

01-23-2013

π^e

work? just like all my other math tests

I ****ING GUESSED


Comment below rating threshold, click here to show it.

Bakabridget

Senior Member

01-23-2013

What is e?


Comment below rating threshold, click here to show it.

X5TeRraN

Member

01-23-2013

Quote:
Originally Posted by Jamaree View Post
Screw you, I'm a cheater.
Aw come on it's a fun little math exercise! It will make you smarter!


Comment below rating threshold, click here to show it.

Jamaree

This user has referred a friend to League of Legends, click for more information

Senior Member

01-23-2013

Quote:
Originally Posted by X5TeRraN View Post
Aw come on it's a fun little math exercise! It will make you smarter!
Screw smarts, I have been studying the last five hours, about to go to work for three, my brain needs to be turned off.


Comment below rating threshold, click here to show it.

Umbasa

Senior Member

01-23-2013

e is like 2.2 or something, im guessing e^pie


Comment below rating threshold, click here to show it.

Darkvolcan

Senior Member

01-23-2013

Doing it from my head and rounding off and stuff, I figured e^pi.

I forgot what I did exactly, but I checked google and it said I was right, so yeah.


Comment below rating threshold, click here to show it.

Navvan

Senior Member

01-23-2013

lπ(ln(e^π)) =lπ(π*ln(e))= lπ(π)=1
lπ(ln(π^e)) = lπ(e*ln(π))=lπ(e)+lπ(lπ(π))=lπ(e)
e<π implies lπ(e)<lπ(π)=1 thus e^π>π^e

Think that is sound

lπ is a logarithm with a base of π if it wasn't clear


Comment below rating threshold, click here to show it.

Quision

Member

01-23-2013

Hmm, I would say pi^e. e is around 2 and pi is around 3. 3^2 > 2^3

Edit, just tried it out and it turns out e^pi is greater :(
I guess it makes sense seeing as pi is a greater power.


12