SOLUTION: Find the exact value solution of the equation given below. log(5x)+log (x-1)=2

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Question 950728: Find the exact value solution of the equation given below.
log(5x)+log (x-1)=2

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
log%28%285x%29%29%2Blog%28%28x-1%29%29=2
log%28%285x%28x-1%29%29%29=2
5x%28x-1%29=100
x%28x-1%29=20
x%5E2-x-20=0
%28x-5%29%28x%2B4%29=0
Only the positive solution makes sense here.
x-5=0
x=5