# How do you find the inverse of y=ln(x-2)?

Jul 20, 2016

$y = {e}^{x} + 2$

#### Explanation:

To invert a function, we want to flip it across the line y = x.

$y = \ln \left(x - 2\right)$

Swap x and y:

$x = \ln \left(y - 2\right)$

Take exponential of both sides:

$y - 2 = {e}^{x}$

$y = {e}^{x} + 2$

Plotting in Mathematica to check gives: