Question

$\sqrt[5]{5x + 2 } = \: 2$
Find the value of x.

Answer 1

$\huge\mathsf{Given \ -}$



$\sqrt[5]{5x + 2} = 2 \\ \\ \\ {(5x + 2)}^{ \frac{1}{5} } = 2 \\ \\ \\ 5x + 2 = {2}^{5 } \\ \\ \\ 5x + 2 = 32 \\ \\ \\ 5x = 30$



$<marquee>$
$\huge\mathsf\red{\boxed{x \ = \ 6}}$

Answer 2

raise both the side with the power 5
in the LHS 5 and 5 cancels out