SOLUTION: log9(x^2 -4x)=log9(3x-10)

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Question 948309: log9(x^2 -4x)=log9(3x-10)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-4x=3x-10
x%5E2-7x%2B10=0
%28x-2%29%28x-5%29=0
Two solutions:
x-2=0
x=2
and
x-5=0
x=5
Verify the solution.
log%289%2C%282%5E2-4%282%29%29%29=log%289%2C%283%282%29-10%29%29%29
log%289%2C%284-8%29%29=log%289%2C%286-10%29%29
log%289%2C%28-4%29%29=log%289%2C%28-4%29%29
This solutions leads to a negative argument which is not
allowed. Not a good solution.
.
.
log%289%2C%285%5E2-4%285%29%29%29=log%283%285%29-10%29%29
log%289%2C%2825-20%29%29=log%289%2C%2815-10%29%29
log%289%2C%285%29%29=log%289%2C%285%29%29
True, good solution.
x=5