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

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Question 603513: Solve the following logarithmic equation:
log(90x+40)=2+log(x-6)

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