SOLUTION: Find the inverse of the function g(x)= 5^(3x+1) - 6

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Question 835378: Find the inverse of the function g(x)= 5^(3x+1) - 6
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Switch to x,y representation.
y=5%5E%283x%2B1%29-6
Interchange x,y and solve for the new y.
x=5%5E%283y%2B1%29-6
x%2B6=5%5E%283y%2B1%29
3y%2B1=log%285%2C%28x%2B6%29%29
3y=log%285%2C%28x%2B6%29%29-1
highlight_green%28y=%281%2F3%29%2A%28log%285%2C%28x%2B6%29%29-1%29%29
This new y is the inverse of g(x).