Answer
The domain of $\ln x $ is $(0,\infty)$ and the range is $ R $.
Work Step by Step
Since $\ln x $ is defined only for all $ x\gt 0$, then the domain of $\ln x $ is $(0,\infty)$ also since the output of $\ln x $ is unrestricted, then the range is $ R $. Whenever $ x=e^{-a}, a>0$, the value of $\ln x $ is negative.
