Solve this
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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