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)
$$\eqalign{ & {{\text{2}}^x} = \root 3 \of {32} \cr & \Rightarrow {{\text{2}}^x} = {\left( {32} \right)^{\frac{1}{3}}} = {\left( {{2^5}} \right)^{\frac{1}{3}}} \cr & \Rightarrow x = \frac{5}{3} \cr} $$This Question Belongs to Arithmetic Ability >> Surds And Indices
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