Answer
$x\approx 20.67$
Work Step by Step
RECALL:
$\log_b{x}= y \longrightarrow b^y=x$
Use the rule above to obtain:
$4^{3}=3x+2
\\64=3x+2$
Subtract $2$ on both sides of the equation to obtain:
$62=3x$
Divide $3$ on both sides of the equation to obtain:
$\dfrac{62}{3} = x
\\x \approx 20.67$