Answer
$x=3$
Work Step by Step
Let $5^{\log_5 3}=x$. Taking the logarithm base $5$ of both sides, then,
\begin{array}{l}
\log_5 5^{\log_5 3}=\log_5 x
\\
(\log_5 3)(\log_5 5)=\log_5 x
\\
(\log_5 3)(1)=\log_5 x
\\
\log_5 3=\log_5 x
.\end{array}
Since the bases on both sides of the equal sign are the same, then the logarithm base $5$ can be dropped, resulting to $
x=3
.$