Answer
$2\log_3 x+\log_3 y$
Work Step by Step
Using the properties of logarithms, the given expression, $
\log_3 x^2y
,$ is equivalent to
\begin{align*}\require{cancel}
&
\log_3 x^2+\log_3 y
&(\text{use }\log_b (xy)=\log_b x+\log_b y)
\\&=
2\log_3 x+\log_3 y
&(\text{use }\log_b x^y=y\log_b x)
.\end{align*}
Hence, the expression $
\log_3 x^2y
$ is equivalent to $
2\log_3 x+\log_3 y
$.
