SOLUTION: solve the logarithmic equation. In(4x-3)=In 3-In(x-1)

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Question 929414: solve the logarithmic equation.
In(4x-3)=In 3-In(x-1)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
In(4x-3)=In 3-In(x-1)
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Not In, ln, for natural log.
Subtracting logs --> division
ln%284x-3%29+=+ln%283%2F%28x-1%29%29
4x-3 = 3/(x-1)
4x%5E2+-+7x+%2B+3+=+3
4x%5E2+-+7x+=+0
x = 0, but gives log of a negative number, reject.
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x = 7/4
Check:
ln(7 - 3) = ln(3) - ln(3/4)