SOLUTION: log (x+6) - log (x+2) = log x

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Question 1170698: log (x+6) - log (x+2) = log x
Found 3 solutions by josgarithmetic, MathLover1, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
log%28%28x%2B6%29%2F%28x%2B2%29%29=log%28x%29

%28x%2B6%29%2F%28x%2B2%29=x
x%2B6=x%5E2%2B2x
x%5E2%2B2x-x=6
x%5E2%2Bx=6
x%28x%2B1%29=6
__.

Looking at the original equation, -2 will not work.
cross%28x=-3%29

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

log%28x%2B6%29-log%28x%2B2%29+=+log%28+x%29
log%28%28x%2B6%29%2F%28x%2B2%29%29+=+log%28+x%29....if log same then
%28x%2B6%29%2F%28x%2B2%29+=+x
%28x%2B6%29+=+x%28x%2B2%29
x%2B6+=+x%5E2%2B2x
0=+x%5E2%2B2x-x-6
0=+x%5E2%2Bx-6
0=+x%5E2-2x%2B3x-6
0=+%28x%5E2-2x%29%2B%283x-6%29
0=+x%28x-2%29%2B3%28x-2%29
0+=+%28x+-+2%29+%28x+%2B+3%29
solutions:
x=2
x=-3->disregard negative

Answer by ikleyn(52894) About Me  (Show Source):
You can put this solution on YOUR website!
.

Ignore the post by @josgarithmetic, since his solution

and his answer  BOTH  are  WRONG.