Question

Which is greater `e^pi` or `pi^e`?

Answer 1

Please see below.

Explanation:

`ln(e^pi)=pilne=pixx1=pi=3.14159`

and `ln(pi^e)=elnpi=2.71828182846xx1.14472988585`

= `3.1116984472`

As `ln(e^pi) > ln (pi^e)`

we have `e^pi > pi^e`