SOLUTION: Solve. include approximations to the nearest thousandth. log(x-3) + logx = 1

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Question 235044: Solve. include approximations to the nearest thousandth.
log(x-3) + logx = 1
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




The sum of the logs is the log of the product, that is:



Therefore



If the base is unspecified, base 10 is understood, so:



Apply the definition of logarithms





Put that into standard form and you have a factorable quadratic equation:





or

But is not in the domain of , therefore you must exclude this root.

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John