SOLUTION: log6 x + log6 (x - 5) = 1

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Question 327726: log6 x + log6 (x - 5) = 1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
log%286+%2C%28x%29%29+%2B+log%286+%2C%28x+-+5%29%29+=+1+
log%286+%2C%28%28x%29%28x+-+5%29%29%29+=+1+
x%28x+-+5%29+=+6%5E1+
x%5E2-5x=6
x%5E2-5x-6=0
%28x%2B1%29%28x-6%29=0
Only positive solutions are allowed because of the log function.
x-6=0
x=6
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.
.
log%286+%2C%286%29%29+%2B+log%286+%2C%286+-+5%29%29+=+1+
1%2B+log%286+%2C%281%29%29+=+1+
1%2B+0+=+1+
1=1
Solution verified.