Answer
{$\frac{1}{9}$}
Work Step by Step
Step 1: $\log_{3} x=-2$
Step 2: Turning the logarithmic form to its corresponding exponential statement, $x=3^{-2}$
Step 3: $x=\frac{1}{3^{2}}$
Step 4: $x=\frac{1}{9}$
Step 5: Therefore, the solution set is {$\frac{1}{9}$}.
