# What is the natural logarithm of π?

Sep 10, 2014

The natural log of $\pi$ ? That even sounds like a scary question!

I used my calculator to get an approximate value, since I know that anything involving $\pi$ will be irrational.....

So, remember that the natural logarithm is the log in base "e". Which means, the answer is the power of "e" that yields your number. In this case, $e$ to what power is $\pi$? It seems to be about 1.14.

Does ${e}^{\pi}$ seem like 1.14 to you?
Does ${3}^{1.14}$ seem like $\pi$?
Does ${2.7}^{1.14}$ seem like $\pi$?

Welcome to Euler's world, Home of the number $e$!