SOLUTION: What is the inverse function of f(x)=log base 3 (125x)? Can you show the steps?

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Question 878096: What is the inverse function of f(x)=log base 3 (125x)? Can you show the steps?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use x and y nomenclature.
y=log%283%2C%28125x%29%29
Interchange x and y and solve for new y.
This new y is the inverse of the original function.
x=log%283%2C%28125y%29%29
3%5Ex=125y
y=%281%2F125%29%2A3%5Ex
f%5E%28-1%29%28x%29=%281%2F125%29%2A3%5Ex