# How do you invert a logarithmic function?

##### 1 Answer

Feb 23, 2016

You must switch the x and y coordinates. See example below.

#### Explanation:

Find the inverse of

2 is the base, x is the exponent, and y + 4 is the answer.

Essentially, the inverse of a logarithmic function is an exponential function.

You could also have found the inverse graphically by reflecting the image of the function over the line y = x. For example, if the point (8, 9) is on the graph of

**Practice exercises:**

- Find the inverses of the following functions.

a)

b)

Good luck!