Answer
$x = 5$
Work Step by Step
RECALL:
$a \cdot \log_b{x} = \log_b{(x^a)}$
Use the rule above to obtain:
$\log{(x^3)}=\log{125}$
Use the rule "$\log_b{a} =\log_b{c} \longrightarrow a = c$" to obtain:
$x^3=125
\\x^3=5^3$
Take the cube root of both sides to obtain:
$x=\sqrt[3]{5^3}
\\x = 5$