algebra 2

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Solve the equation. Give an exact solution.
ln(3x - 2) = ln 2 - ln(x - 1)

  • algebra 2 -

    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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