Derivatives with log base e

Question

So I am currently finding the derivative of logs and can perform most of them out. But the question states, $$ \log_e{\sqrt{2x+1}} $$ How do you derive this?

Answer 1

Hint: $$y=\log_e (f(x)^n)=n\ln(f(x))$$ $$y'=n\frac{f'(x)}{f(x)}$$ your $f(x)=2x+1$ and $n=\frac{1}{2}$