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Help with algebra problem involving logs

  1. Feb 4, 2012 #1
  2. jcsd
  3. Feb 4, 2012 #2
  4. Feb 5, 2012 #3
    Do you know about the base changing theorem?
     
  5. Feb 5, 2012 #4

    I like Serena

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    Welcome to PF, strike2kill! :smile:

    What you would need is that ##\log_g a = {\log a \over \log g}##.
    Can you find Y if you use this?


    Btw, let's redo WolframAlpha with the proper expression:
    http://www.wolframalpha.com/input/?i=log(3,+x)+*+log(x,++2x)+*+log(2x,+Y)+=+log(x,+x^2)
    Actually Wolfram does not give the answer, although you can read it off the graph that it generates.
     
  6. Feb 5, 2012 #5
    I'm sort of familiar with the change of base formula but I don't know how to apply it here
     
  7. Feb 5, 2012 #6

    I like Serena

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    Replace (Log3 of x) by log(x)/log(3) and so on...
     
  8. Feb 5, 2012 #7

    HallsofIvy

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    This has nothing to do with "Linear and Abstract Algebra" so I am moving it to "general mathematics".
     
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