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If 3^ x + 3 + 7 = 250 text &nbsp...

This question belongs to Arithmetic Ability Algebra
Algebra
?

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

Answer & Solution
Correct Answer: Option C
$$\eqalign{ & {3^{x + 3}} + 7 = 250 \cr & \Rightarrow {3^{x + 3}} = 250 - 7 \cr & \Rightarrow {3^{x + 3}} = 243 \cr & \Rightarrow {3^{x + 3}} = {3^5} \cr & \Rightarrow x + 3 = 5 \cr & \Rightarrow x = 2 \cr} $$
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