College Algebra

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(ex)x·e4x + 4 = 1… so i need to solve for x…. how the hell do I do that???

  • College Algebra -

    Hey sorry the equation is a little different than that…
    (ex)x·e4x + 4 = 1

    all the xs and 4x+4 are all exponents.

  • College Algebra -

    If you mean e^x * e^(4x+4) = 1

    just take log of both sides:

    x + (4x+4) = 0
    5x = -4
    x = -4/5

    check

    e^(-4/5) * e^(-16/5 + 20/5) = e^(-4/5) * e^(4/5) = e^(-4/5 + 4/5) = e^0 = 1

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