Question

Find the derivative of ${\log }_{10}x$ with respect to $x$.

Answer 1

$\frac{d}{dx}\left(lo{g}_{10}x\right)=\left[\frac{lnx}{ln10}\right]\frac{d}{dx}$

$=\frac{1}{ln10}\left[lnx\right]\frac{d}{dx}=\frac{1}{x}\frac{1}{ln10}$