How do you invert a logarithmic function?
You must switch the x and y coordinates. See example below.
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
- Find the inverses of the following functions.