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Expotential function

  1. Feb 24, 2005 #1
    solve [tex] x =(e^y-e^{-y})/2 [/tex] for y in terms of x

    i kinda forgot how to do it~~~sign

    any help appreciated

    thx


    could anyone move this to homework k-12 section thx

    sorry about this
     
    Last edited: Feb 24, 2005
  2. jcsd
  3. Feb 24, 2005 #2

    matt grime

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    It's a quadratic in e^y, albeit disguised. You'd have no problem solving

    2x= t - 1/t
     
  4. Feb 24, 2005 #3
    [tex] 2x=e^{y}-e^{-y}[/tex]
    [tex] 2x\cdot e^{y}=e^{2y}-1 [/tex]
    [tex] e^{y}=\frac{2x\pm\sqrt{4x^{2}+4}}{2}[/tex]
    [tex] y=ln{(x\pm\sqrt{x^{2}+1})}[/tex]
     
  5. Feb 24, 2005 #4

    dextercioby

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    The idea was that the OP would use Matt's suggestion and make the calculations on his/her own.
    Please,do not provide full answers,once the 'HINTS' have been given...:grumpy:

    Daniel.
     
  6. Feb 24, 2005 #5
    cool thx for the hint and the answer
     
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