SOLUTION: Find the Inverse: f(x)=( 1/2 )[ 10^(x-1)+5] book answer: log(2x-10)+1

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Question 55004This question is from textbook College Algebra
: Find the Inverse:
f(x)=( 1/2 )[ 10^(x-1)+5]
book answer: log(2x-10)+1 This question is from textbook College Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
y=( 1/2 )[ 10^(x-1)+5]
Interchange x and y to get the inverse.
x=(1/2)[10^(y-1)+5]
Solve for y as follows:
2x-5=10^(y-1)
Take the log of both sides to get:
log(2x-5)= y-1
y=log(2x-5) + 1
Cheers,
Stan H.