# How do you find the domain of log_e(x-9)?

Oct 1, 2017

$x \in \left\{\mathbb{R} | x > 9\right\}$

#### Explanation:

The logarithm function is only defined for strictly positive real values, thus we require that:

$x - 9 > 0$

Hence the domain of the given function is:

$x \in \left\{\mathbb{R} | x > 9\right\}$