SOLUTION: Solve the following logarithmic equation: log(90x+40)=2+log(x-6)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve the following logarithmic equation: log(90x+40)=2+log(x-6)      Log On


   

Question 603513: Solve the following logarithmic equation:
log(90x+40)=2+log(x-6)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following logarithmic equation:
log(90x+40)=2+log(x-6)
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log(90x+40)-log(x-6) = 2
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log[(90x+40)/(x-6)] = 2
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(90x+40)/(x-6) = 100
90x+40 = 100x-600
10x = 640
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x = 64
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Cheers,
Stan H.
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