Answer
$6$
Work Step by Step
Using the properties of logarithms, the given equation, $
\log_3 3^6
$, is equivalent to
\begin{align*}\require{cancel}
&
6(\log_3 3)
&(\text{use }\log_b x^y=y\log_b x)
\\&=
6(1)
&(\text{use }\log_b b=1)
\\&=
6
.\end{align*}
Hence, the expression $
\log_3 3^6
$ evalautes to $
6
$.
