if 2^x = 3 32 then x is equal to = ?

Answer: Option D

$$\begin{array}{rl}& {\text{2}}^x=\text{root}3\text{of}32\\ & \Rightarrow {\text{2}}^x={\left(32\right)}^{\frac{1}{3}}={\left(2^5\right)}^{\frac{1}{3}}\\ & \Rightarrow x=\frac{5}{3}\end{array}$$