# How do you find the inverse of #y=log_x4#?

##### 1 Answer

Mar 28, 2018

#### Explanation:

I would recommend using the base change rule for this one.

Let's express

(Note: As an IB student I use

Therefore

We rearrange the equation to isolate x.

Rewrite the equation using e raised to the power of both sides so that the equation is equal to x.

Using the relation

This gives us

Having rearranged the equation all we need to do is swap y and x to find the inverse.