# How do you solve e^x − 1 − 5 = 5 ?

Dec 25, 2015

$x = \ln 11$

#### Explanation:

${e}^{x} - 1 - 5 = 5$

$\therefore {e}^{x} = 5 + 5 + 1 = 11$

$\therefore \ln {e}^{x} = \ln 11$

$\therefore x \ln e = \ln 11$

$\therefore x = \ln 11$