Question : If $(2^{3})^{2} = 4^{x}$, then $3^{x}$ is equal to:
Option 1: $3$
Option 2: $6$
Option 3: $9$
Option 4: $27$
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Answer (1)
13th Jan, 2024
Correct Answer: $27$
Solution :
Given: $(2^{3})^{2} = 4^{x}$
⇒ $2^{6} = 2^{2x}$
⇒ $6 = 2x$ (If $a^x = a^y$, then $x=y$)
⇒ $x = 3$
$\therefore$ $3^{x} = 3^{3} = 27$
Hence, the correct answer is $27$.
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