SOLUTION: Looking for solution to the following, appreciate any assistance. f(x)=log3(2x) and g(x)=2x^2 find f^-1(x)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Looking for solution to the following, appreciate any assistance. f(x)=log3(2x) and g(x)=2x^2 find f^-1(x)      Log On


   



Question 1092949: Looking for solution to the following, appreciate any assistance.
f(x)=log3(2x) and g(x)=2x^2 find f^-1(x)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=log3(2x) and g(x)=2x^2 find f^-1(x)
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If f%28x%29+=+log%283%2C2x%29
y+=+log%283%2C2x%29
Swap x & y
x+=+log%283%2C2y%29
Solve for y
2y+=+3%5Ex
y+=+3%5Ex%2F2
f^-1(x) = 3%5Ex%2F2