As we know $e^{\ln (x)}=x$.
To prove this I applied $\ln$ on LHS (left hand side) and I got RHS (rights hand side ) as follows
$\ln (e^{\ln (x)})=\ln (x)$
$\ln (x)\ln (e)=\ln (x)$
$\ln (x)=\ln (x)$
But I didn't knew how the first step or the equation which is to be proved. Can anyone help me in this.
By definition,$$\ln e^{f(x)} = f(x)$$