pre calculus

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Solve the exponential equation Express you solutions in exact form only Please show your work
e^2x - 9e^x - 20 = 2

  • pre calculus -

    (e^x)^2 - 9e^x - 22 = 0
    let y = e^x
    y^2 - 9x - 22 = 0
    (y-11)(y+2) = 0
    y = 11 or y = -2
    e^x = 11
    x = ln 11

    or

    e^x = -2, no solution ( x = ln(-2) which is undefined)

  • pre calculus -

    Thank u!

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