# How do you expand ln (xe^x)?

Mar 25, 2018

$\ln x {e}^{x} = x + \ln x$

#### Explanation:

To expand $\ln x {e}^{x}$, we use the following property

$\log a b = \log a + \log b$

So

$\ln x {e}^{x} = \ln x + \ln {e}^{x} = x + \ln x$