Posted by **sky** on Wednesday, July 13, 2011 at 12:55am.

Solve the equation. Give an exact solution.

ln(3x - 2) = ln 2 - ln(x - 1)

- algebra 2 -
**Reiny**, Wednesday, July 13, 2011 at 8:33am
ln(3x - 2) = ln 2 - ln(x - 1)

ln(3x-2) = ln(2/(x-1))

3x-2 = 2/(x-1)

3x^2 - 5x + 2 = 2

x(3x-5) = 0

x = 0 or x = 5/3

BUT, if x=0 , ln(x-1) would be undefined,

so x = 5/3

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