Posted by sky on .
Solve the equation. Give an exact solution.
ln(3x  2) = ln 2  ln(x  1)

algebra 2 
Reiny,
ln(3x  2) = ln 2  ln(x  1)
ln(3x2) = ln(2/(x1))
3x2 = 2/(x1)
3x^2  5x + 2 = 2
x(3x5) = 0
x = 0 or x = 5/3
BUT, if x=0 , ln(x1) would be undefined,
so x = 5/3