Answer
$x=\dfrac{9}{10}$
Work Step by Step
Using properties of logarithms, then,
\begin{array}{l}
\log_3x+\log_310=2\\\\
\log_3(10x)=2\\\\
3^2=10x\\\\
10x=9\\\\
x=\dfrac{9}{10}
.\end{array}
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