#### 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.