If ${(3^{3})}^{2} = 9^{x} then 5^{x} = ?$
(a) 1
(b) 5
(c) 25
(d) 125

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Solution

${(3^{3})}^{2} = 9^{x} \Rightarrow {(3^{2})}^{3} = {(3^{2})}^{x} \Rightarrow x = 3 Now 5^{x} = 5^{3} = 125$
Hence, the correct answer is option (d).

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