Answer
$x=\dfrac{25}{3}$
Work Step by Step
Using properties of logarithms and since $\log_b x=y$ implies $b^y=x$, then,
\begin{array}{l}
\log_5 x+\log_5 3=2
\\\\
\log_5 3x=2
\\\\
3x=5^2
\\\\
3x=25
\\\\
x=\dfrac{25}{3}
.\end{array}
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