Answer
$x=\frac{10}{3} \approx 3.333$
Work Step by Step
RECALL:
$\log_a{x} = y \longrightarrow a^y=x$
Use the rule above to obtain:
$\log_3{(3x-1)} = 2
\\\longrightarrow 3^2=3x-1
\\9=3x-1
\\9+1=3x
\\10=3x
\\\frac{10}{3} = x
\\x=\frac{10}{3} \approx 3.333$
