SOLUTION: Express the inverse function of y=e^(4x-5) in the form y=a ln x +b. We are looking for the coefficients a and b. I have come up with y=1/4 ln x +5. the 5 seems to be wrong. Any

Question 60450: Express the inverse function of y=e^(4x-5) in the form y=a ln x +b. We are looking for the coefficients a and b. I have come up with y=1/4 ln x +5. the 5 seems to be wrong. Any information on this would be helpful.
Answer by hayek(51) (Show Source): You can put this solution on YOUR website!
It looks like you dropped a parentheses, here is the solution:

Substitute y and x to find the inverse function:

Take ln of both sides:

Solve for y:

So, and .
Here are the graphs of the original equation and the inverse, with y=x drawn to show the inverse symmetry.

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