Answer
{$\frac{25}{3}$}
Work Step by Step
Step 1: $\log_{5} x+\log_{5} 3=2$
Step 2: $\log_{5} (x\times3)=2$
Step 3: $\log_{5} (3x)=2$
Step 4: $3x=5^{2}$
Step 5: $3x=25$
Step 6: $x=\frac{25}{3}$
Step 7: Therefore, the solution set is {$\frac{25}{3}$}.
