Answer
{$\frac{3}{5}$}
Work Step by Step
$\log_{3} 5+\log_{3} x=1$
$\log_{3} (5\times x)=1$
$\log_{3} (5x)=1$
$5x=3^{1}$
$5x=3$
$x=\frac{3}{5}$
Checking the answer by inserting it in $\log_{3} (5x)=1$:
$\log_{3} (5\times\frac{3}{5})=1$
$\log_{3} (3)=1$
$\log_{3} 3^{1}=1$
$1\log_{3} 3=1$
$1=1$
Therefore, the solution set is {$\frac{3}{5}$}.