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Solve the equation for x: in(e^4 / e^3x) = 6?

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Solve the equation for x: in(e^4 / e^3x) = 6?

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  1. take e to both sides

    e^4 / e^(3x) = e^6

    usign exponent rules subtract exponents

    e^(4 - 3x) = e^6

    now equate exponents

    4 - 3x = 6

    - 3x = 6-4 =2

    x = - 2/3


  2. e^4 / e^(3x) = e^6

    e^(4 - 3x) = e^6

    4 - 3x = 6

    - 2 = 3x

    x = - 2/3
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