SOLUTION: Hi! I need help with log(x+6)- logx= log(x+2) Thanks so much

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Question 115648: Hi!
I need help with log(x+6)- logx= log(x+2)
Thanks so much
Answer by vertciel(183) About Me  (Show Source):
You can put this solution on YOUR website!
Hello there,
log(x + 6)- log x = log(x + 2)
= +log%28%28x+%2B+6%29%2Fx%29+=+log%28x+%2B+2%29+
= +%28x+%2B+6%29%2Fx+=+x+%2B+2+
= +x%28x+%2B+2%29+=+x+%2B+6+
= +x%5E2+%2B+x+-+6+=+0+
= +%28x+%2B+3%29%28x+-+2%29+=+0+
x = -3, 2 <-- Discard -3 because logarithms can't be negative.
x = 2