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Differentiate $ \log_a x $ with respect to $ a^x $

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When differentiating logarithmic functions with non-natural bases, express them in terms of the natural logarithm and apply the chain and quotient rules as needed.

Updated On: May 5, 2026

$ \frac{1}{x a^x} $
$ \frac{1}{x a^x (\log a)^2} $
$ \frac{\alpha}{x (\log a)^2} $
$ \frac{a^x}{x} $

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The Correct Option is B

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Differentiate \( \log_a x \) with respect to \( a^x \)

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The Correct Option is B

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