SOLUTION: Determine the inverse of f(x)=5(2)^x

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Question 458316: Determine the inverse of f(x)=5(2)^x
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+5%2A2%5Ex
==> y%2F5+=+2%5Ex
==> lny -ln5 = (ln2)x
==> %28lny+-ln5%29%2Fln2+=+x
Interchanging the places of the x and y variables, we get
%28lnx+-ln5%29%2Fln2+=+y
This is the inverse of f(x).