Correct Answer: Option A

Explanation

Let \(\log_{b} a^{n} = x\)

\(\therefore a^{n} = b^{x}\)

\(a^{n} = (a^{\frac{1}{n}})^{x}\)

\(a^{n} = a^{\frac{x}{n}} \implies n = \frac{x}{n}\)

\(x = n^{2}\)

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