Answer
The solution is $x=8$.
Work Step by Step
Divide 3 to both sides of the equation to obtain:
$(x-3)^2=125$
Write $125$ as $5^3$ to obtain:
$(x-3)^3=5^3$
Take the cube root of both sides:
$x-3=\sqrt[3]{5^3}
\\x-3=5$
Add 3 to both sides of the equation:
$x=5+3
\\x=8$
Thus, the solution to the given equation is $x=8$.
