Question

How do you find the inverse of `y=log_3x`?

Answer 1

`f^-1(x) = 3^x`

Explanation:

To find the inverse , change the subject of the equation to x .

`log_3 x = y`

(using `log_b a = n hArr a = b^n)`

`log_3 x = y rArr x = 3^y`

the inverse function is normally written in terms of x.

`rArr f^-1(x) = 3^x`