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    Solve logarithmic equations

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    Solving logarithmic equations

    1
    ------------ = 4
    e^x - e^(-x)

    ln(x^2) = ln(9)

    5^(3x+4) = 2^(1-5x)

    © BrainMass Inc. brainmass.com March 4, 2021, 5:41 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/solve-logarithmic-equations-6487

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    Question 1:

    1
    ------------ = 4
    e^x - e^(-x)

    1 = 4e^x -4e^(-x)
    e^x = 4e^2x - 4 (multiplying through by e^x)

    let z = e^x

    z = 4z^2 - 4
    4z^2 - z - 4 = 0

    Use the quadratic ...

    Solution Summary

    Logarthmic equations are solved.

    $2.19

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