How do you find the inverse of an exponential function with multiple variables?

[AngryHan]

Homework Statement

Find the inverse of exp(y-x)+5

2. The attempt at a solution

I think the solution is y-ln(x-5) but I can't think of how to solve it to get that. I don't know what to do about the x and the y being together.

 

[tiny-tim]

Welcome to PF!

Hi AngryHan! Welcome to PF!

Find the inverse of exp(y-x)+5

This question makes no sense.

Only functions have inverses.

What is this a function of? x? y? y-x? ​

 

[AngryHan]

Thanks tiny-tim :) It is a function of x I believe

 

[Dickfore]

So, what is y? A parameter?

 

[Infinitum]

I believe you need to take y to be a parameter, and let the function be

f(x) = t = exp(y-x)+5

Now, try to find the inverse.