Please explain how to do this, base e

Question

Express $ 3^X$, $x^\pi$, $x^{\sin x} $ using base $e$.

Answer 1

The most basic properties of logarithems tell you that $A = e^{\ln A}$. Therefore $$ A^B = \Big( e^{\ln A} \Big)^B = e^{B\ln A}. $$