How to prove derivative of logarithm with base $b$?

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I learned how to derive a logarithm with any base. This is the formula:

$$\frac{d}{dx}\log_bx=\frac{1}{x\ln b}$$

How can it be proved?

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1 Answer

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Just use the definition of $\log_b x =\dfrac{\ln x}{\ln b}$.

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