SOLUTION: How do I find the inverse of: f(x)=2log2(x-5)? Please note that the "2" after log is in subscript. Please show steps.

Question 217756: How do I find the inverse of: f(x)=2log2(x-5)? Please note that the "2" after log is in subscript. Please show steps.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How do I find the inverse of: f(x)=2log2(x-5)? Please note that the "2" after log is in subscript. Please show steps.
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y = 2*log(base2)(x-5)
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Interchange x and y:
x = 2*log(base2)(y-5)
Solve for "y":
log(base2)(y-5) = x/2
y-5 = 2^(x/2)
y = 2^(x/2) + 5
That is the inverse.
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Cheers,
Stan H.
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