Rewrite a formula in terms of exponential to the power of logarithm

Question

I would like to rewrite the following formula, f(x).

how can I rewrite the f(x)

$$ f(x) = \frac{(1+2B)}{2A\sqrt{B^2+(1+2B)\frac{x}{A}}}$$

as $$\exp^{\log(f(x)}$$

Answer 1

Okay, here you go:

$$ f(x) =e^{\ln f(x) } = e^{\ln \frac{(1+2B)}{2A\sqrt{B^2+(1+2B)\frac{x}{A}}}} = e^{(\ln 1+2b) - \ln 2A - \ln \sqrt{B^2+(1+2B)\frac{x}{A}}}$$