Jan 15, 2013 Thread starter #1 P Poly Member Nov 26, 2012 32 Which is greater, $e^{\pi}$ or $\pi^{e}$? I found this when searching for calculus inequalities. Last edited by a moderator: Jan 16, 2013

Jan 16, 2013 #2 Fernando Revilla Well-known member MHB Math Helper Jan 29, 2012 661 Poly said: I found this when searching for calculus inequalities. Click to expand... Have a look here: Math Forum - Ask Dr. Math

Poly said: I found this when searching for calculus inequalities. Click to expand... Have a look here: Math Forum - Ask Dr. Math

Jan 16, 2013 #3 E Evgeny.Makarov Well-known member MHB Math Scholar Jan 30, 2012 2,492 A variation of the same method is to raise both numbers to power $1/(e\pi)$ and find the maximum of $x^{1/x}$.

A variation of the same method is to raise both numbers to power $1/(e\pi)$ and find the maximum of $x^{1/x}$.