trouble with a squared log term in a formula

Discussion in 'Math' started by hunterage2000, Jun 28, 2013.

  1. hunterage2000

    Thread Starter Active Member

    May 2, 2010
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    Can someone tell me how to go about solving the attached formula. I don't know how to handle the squared log term. My calculator can't do it and Itried it on MATLAB but an error came up.
     
  2. t_n_k

    AAC Fanatic!

    Mar 6, 2009
    5,448
    782
    How about

    ln^2(x)=ln(x)*ln(x)
     
  3. studiot

    AAC Fanatic!

    Nov 9, 2007
    5,005
    513
    Personally, I would first substitute the t = lnx then square the equation


    {\varsigma ^2} = \frac{{{t^2}}}{{{\pi ^2} + {t^2}}}
     
  4. WBahn

    Moderator

    Mar 31, 2012
    17,715
    4,787
    What do you mean by "my calculator can't do it"?

    It's hard to imagine any calculator that can do ln() not being able to square the result.

    Is the problem that you aren't aware of some of the more subtle conventions regarding math notation?

    \ln^2(x)\ =\ \left( \ln(x) \right) ^2

    If so, no shame there -- we all get exposed to the pieces parts a piece at a time.

    Or perhaps I am not catching what you mean by "solving the attached formula". What is it that you are solving for?
     
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