SOLUTION: Solve the logarithmic equation showing step by step. log(x)+log(x-5)=log(3x-15)

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Question 1005504: Solve the logarithmic equation showing step by step. log(x)+log(x-5)=log(3x-15)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
log%28%28x%28x-5%29%29%29=log%28%283x-15%29%29

The antilogs must be equal.
x%5E2-5x=3x-15
x%5E2-5x-3x%2B15=0
x%5E2-8x%2B15=0
%28x-3%29%28x-5%29=0

x is 3 or x is 5.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Solve the logarithmic equation showing step by step. log(x)+log(x-5)=log(3x-15)
No solutions, as both are EXTRANEOUS!