SOLUTION: 2lnx-ln(3x-2)=0

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Question 800708: 2lnx-ln(3x-2)=0
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
2ln(x)-ln(3x-2) = 0
Add ln(3x-2) to both sides
2ln(x) = ln(3x-2)
which is
ln%28x%5E2%29 = ln%283x-2%29
therefore
x%5E2 = 3x+-+2
Arrange as a quadratic equation
x^2 - 3x + 2 = 0
Factors to
(x-2)(x-1) = 0
two solutions
x = 2
x = 1
:
:
Check both solutions in original problem