Answer
$x=\frac{3}{5}$
Work Step by Step
Use the product property for logarithms to have:
$\log_3{(5x)}=1$
RECALL:
$\log_a{b}=x \longrightarrow a^x=b$
Use this rule in converting the equation to its equivalent exponential equation to have:
$3^1=5x
\\3=5x
\\\frac{3}{5}=x$