# How do you solve (x-2)^(3/2)=8?

Apr 11, 2015

${\left(x - 2\right)}^{\frac{3}{2}} = 8$

Take the cube root of both sides:
${\left(x - 2\right)}^{\frac{1}{2}} = 2$

Square both sides
$\left(x - 2\right) = 4$

Solve for $x$
$x = 6$