Derivative of Logarithm to Any Base

Rarely Tested

Derivative of Logarithm to Any Base

For:

$$a>0,\quad a\neq1$$

$$\frac{d}{dx}(\log_a x)=\frac{1}{x\ln a}$$

Usage

- Used when logarithms have a base other than $$e$$.

No related questions available for this formula yet.

Go back to topics

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.