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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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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