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Homework Help: Log equation

  1. Feb 5, 2010 #1
    1. The problem statement, all variables and given/known data

    Find x:

    log 3 (x^2 -5x+6) - log 2 (2-x) = 2

    2. Relevant equations



    3. The attempt at a solution
    I tried and got:
    (3-x).[(2-x)^1-log 2 (3)] = 9

    but I don't know how to get x here ...
     
  2. jcsd
  3. Feb 5, 2010 #2

    Mark44

    Staff: Mentor

    Some clarification, please. Is this
    log[3(x2 - 5x + 6)] - log[2(2 - x)] = 2

    or
    log3(x2 - 5x + 6) - log2(2 -x) = 2
    ?
     
  4. Feb 6, 2010 #3
    it is log3(x2 - 5x + 6) - log2(2 -x) = 2
     
  5. Feb 6, 2010 #4

    Mark44

    Staff: Mentor

    Are you sure you have the problem written correctly? It's very messy with the two log bases. I got to x2 - 5x + 6 = 9(2 - x)(1/log32)
     
  6. Feb 7, 2010 #5
    You got the same I got


    Yes I'm sure ...
     
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