# How do you find the inverse of #y = ln(x) + ln(x-6)#?

##### 1 Answer

Solve for

#### Explanation:

We'll proceed under the assumption you are trying to find the inverse of the function

In general, to find the inverse of a function, a good method is to set

(To see why this works, substitute in

To do that here, we will need to use the following:

#ln(a) + ln(b) = ln(ab)# #e^ln(a) = a# - The quadtratic formula:

#ax^2 + bx + c = 0 => x = (-b +-sqrt(b^2-4ac))/(2a)#

Let

(note here that as we have

But

Thus

Then, by our process, we have