Answer
$\approx0.8736$
Work Step by Step
Using $\log_a b=\dfrac{\log b}{\log a}$ or the Change-Of-Base Theorem, the given expression, $
\log_{\pi} e
,$ evaluates to
\begin{array}{l}\require{cancel}
\dfrac{\log e}{\log \pi}
\\\\
\approx0.8736
.\end{array}