Question 528335: log6(x+9)log6 x=2 check for extraneous solutions
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Solve for x
log6(x+9)log6 x=2 check for extraneous solutions
Assume given equation should be written as follows:
log6(x+9)+log6(x)=2
log6[(x+9)(x)]=2
log6(x^2+9x)=2
6^2=x^2+9x=36
x^2+9x-36=0
(x+12)(x-3)=0
x=-12 (reject, (x+9)>0)
or
x=3
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