1)

If $2^{x}=\sqrt[3]{32}$ , then x is equal to?.


A) 5

B) 3

C) 3/5

D) 5/3

Answer:

Option D

Explanation:

$2^{x}=\sqrt[3]{32} \Leftrightarrow 2^{x}=32^{\frac{1}{3}}$ $=\left(2^{5}\right)^{\frac{1}{3}} =2^{\frac{5}{3}}$ $\Leftrightarrow x=\frac{5}{3}$