Hello, this problem is actually for a Calculus II course, but I feel the problem I'm having is figuring out the algebraic complications. The problem is as follows:

Find the inverse of f(x) if f(x) = (-6-3*3^x)/(-5-7*3^x).

Now, I understand that to find the inverse of a function, the first step would be to switch the x and y variables, which I preceeded to do. Next, I took the natural log of both sides and got:

ln(x) = ln(-6-3*3^(y)) - ln(-5-7*3^(3))

This is the where I'm unsure of what to do. First, I thought I might be able to take natural numbereto both sides. Is this a mistake? I may have the wrong approach altogether. If you have any hints or tips as to how I should approach this problem, aside from the aforementioned routes, I would greatly appreciate it.

Sincerely,

Austin Martin