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solve the following exponential equation

e^x-4=-e^-x

please show work

  • math -

    if you let u = e^x,

    u-4 = -1/u
    u^2 - 4u = -1
    u^2 - 4u + 1 = 0
    now just use the quadratic formula and if you get values for u, wind up with

    x = ln(u) if defined

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