SOLUTION: Find the inverse of the function f(x)= -2log3(x-1)+4 The '3' is the base of the logarithm. The coefficient and the '+4' part are throwing me off so if you could show me how to do

Question 482940: Find the inverse of the function f(x)= -2log3(x-1)+4
The '3' is the base of the logarithm. The coefficient and the '+4' part are throwing me off so if you could show me how to do it with or without the answer I'd appreciate it
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the inverse of the function
f(x)= -2log3(x-1)+4
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1st: Interchange x and y
x = -2log3(y-1) + 4
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2nd: Solve for "y":
-2log3(y-1) = x-4
---
divide by -2 to get:
log3(y-1) = (4-x)/2
---
y-1 = 3^(4-x)/2
----
y = 3^[(4-x)/2] +1
----
That is the inverse function.
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Cheers,
Stan H.

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