Answer
$-5$
Work Step by Step
Using the properties of logarithms, the given expression, $
\log_33^{-5}
,$ is equivalent to
\begin{align*}\require{cancel}
&
-5\log_33
&(\text{use }\log_b x^y=y\log_b x)
\\&=
-5(1)
&(\text{use }\log_b b=1)
\\&=
-5
.\end{align*}
Hence, the expression $
\log_33^{-5}
$ evaluates to $
-5
$.
