# What is the inverse of y=ln( x-3)? ?

Apr 16, 2018

$y = {e}^{x} + 3$

#### Explanation:

$y = \ln \left(x - 3\right)$

$x = \ln \left(y - 3\right)$ swap $x$ and $y$ and solve for $y$

${e}^{x} = y - 3$

$y = {e}^{x} + 3$