SOLUTION: log6(x+3) + log6(x+4)=1

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Question 90339: log6(x+3) + log6(x+4)=1
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
log%286%2Cx+%2B+3%29+%2B+log%286%2Cx+%2B+4%29+=+1
log%286%2C%28x+%2B+3%29%28x+%2B+4%29%29+=+1
%28x+%2B+3%29%28x+%2B+4%29+=+6%5E1
x%5E2+%2B+7x+%2B+12+=+6
x%5E2+%2B+7x+%2B+6+=+0
%28x+%2B+6%29%28x+%2B+1%29+=+0
x = -6 and -1
Check:
x = -1 only
graph%28300%2C300%2C-8%2C2%2C-5%2C5%2Clog%286%2Cx+%2B+3%29+%2B+log%286%2Cx+%2B+4%29%2C1%29