if $${{\text{2}}^x} = \root 3 \of {32} $$   then x is equal to = ?

A. 5

B. 3

C. $$\frac{3}{5}$$

D. $$\frac{5}{3}$$

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & {{\text{2}}^x} = \root 3 \of {32} \cr & \Rightarrow {{\text{2}}^x} = {\left( {32} \right)^{\frac{1}{3}}} = {\left( {{2^5}} \right)^{\frac{1}{3}}} \cr & \Rightarrow x = \frac{5}{3} \cr} $$