$\begingroup$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?
$\endgroup$21 Answer
$\begingroup$Just use the definition of $\log_b x =\dfrac{\ln x}{\ln b}$.
$\endgroup$0
