# What is the solution set of {3x-2)^(3/5) = 8?

$x = \frac{34}{3}$
${\left(3 x - 2\right)}^{\frac{3}{5}} = 8$
$3 x = 2 + {8}^{\frac{5}{3}}$
$x = \frac{2}{3} \left(1 + {2}^{4}\right) = \frac{34}{3}$