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

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: solve the logarithmic equation. In(4x-3)=In 3-In(x-1)      Log On


   

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)
----------
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.
----
x = 7/4
Check:
ln(7 - 3) = ln(3) - ln(3/4)