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If $${3^{x + 3}} + 7 = 250{\text{,}}$$    then x is equal to?

A. 5

B. 3

C. 2

D. 1

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {3^{x + 3}} + 7 = 250 \cr & \Rightarrow {3^{x + 3}} = 250 - 7 \cr & \Rightarrow {3^{x + 3}} = 243 \cr & \Rightarrow {3^{x + 3}} = {3^5} \cr & \Rightarrow x + 3 = 5 \cr & \Rightarrow x = 2 \cr} $$

This Question Belongs to Arithmetic Ability >> Algebra

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