Question:
If $\left(3^{3}\right)^{2}=9^{x}$ then $5^{x}=?$
(a) 1
(b) 5
(c) 25
(d) 125
Solution:
$\left(3^{3}\right)^{2}=9^{x}$
$\Rightarrow\left(3^{2}\right)^{3}=\left(3^{2}\right)^{x}$
$\Rightarrow x=3$
Now
$5^{x}=5^{3}=125$
Hence, the correct answer is option (d).
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