Answer
{$\frac{9}{10}$}
Work Step by Step
Step 1: $\log_{3} x+\log_{3} 10=2$
Step 2: $\log_{3} (x\times10)=2$
Step 3: $\log_{3} (10x)=2$
Step 4: $10x=3^{2}$
Step 5: $10x=9$
Step 6: $x=\frac{9}{10}$
Therefore, the solution set is {$\frac{9}{10}$}.
