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Logarithmic equation

  1. May 3, 2009 #1
    1. The problem statement, all variables and given/known data
    Find the value of x


    2. Relevant equations
    log x - 1/2log(x-1/2) = log(x+1/2) - 1/2log(x+1/8)


    3. The attempt at a solution
    used the log a + log b = log a*b & log a - log b = loga/b

    and got a cubic equation 4x^3-8x^2-4x-1 = 0

    but the answer in the book is x=1
     
  2. jcsd
  3. May 3, 2009 #2

    rock.freak667

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    Homework Helper

    Could you please show your steps on how you've obtained that polynomial?
     
  4. May 3, 2009 #3

    gabbagabbahey

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    Gold Member

    You should be getting a quadratic ([itex]3x^2-2x-1=0[/itex]) which will give you the correct answer. However, I can't tell you where you are going wrong until you show me your workings...
     
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