SOLUTION: How do you solve this equation: log x + log (x-5) = log 6 Please include the steps. Thank you.

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Question 291822: How do you solve this equation:
log x + log (x-5) = log 6
Please include the steps. Thank you.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
log x + log (x-5) = log 6
Adding logs --> multiply
log(x*(x-5)) = log(6)
If the logs are equal, so are the arguments
x*(x-5) = 6
x%5E2+-+5x+-+6+=+0
(x-6)*(x+1) = 0
x = 6
--------
x = -1 BUT there's no log of -1, so it's not an acceptable solution.
x = 6 is it.