SOLUTION: loga x + loga(x-2)=loga3

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Question 424435: loga x + loga(x-2)=loga3
Answer by Gogonati(855) About Me  (Show Source):
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Solve:logax+loga(x-2)=loga3
loga x(x-2)=loga 3
x(x-2)=3
x%5E2-2x-3=0 is a quadratic equation, which can be written:
%28x%2B1%29%2A%28x-3%29=0
x+1=0 => x=-1 and x-3=0 => x=3 The roots are {-1, 3}
Since the logarithm of negative numbers doesn't exist the value x=-1 is rejected.
Answer.The solution set is {x: x=3}