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Homework Help: Simplifying an Expression using Logarithms

  1. Jun 12, 2010 #1
    Ok, I have an Expression which is attached and it needs simplifying.
    What I have done is got 12logx
    But I dont think this is correct.
    Another possible place I got to is logx4/logx1/3
    Which one is it?
     

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  3. Jun 12, 2010 #2

    Dick

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    Show your work, ok? One of those is correct and one isn't. The trouble is that the one that is correct isn't very 'simplified'.
     
  4. Jun 12, 2010 #3
    Ok, so its obviously logx4/logx1/3
    The problem is, im realy stuck here, cant get any further!
     
  5. Jun 12, 2010 #4

    Dick

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    Ok, that's the correct one. But now use log(x^b)=b*log(x). What do you get? log(x)/log(x) isn't log(x).
     
  6. Jun 12, 2010 #5
    Ok so, 4logx/1/3logx
    Would the answer be just 12?
     
  7. Jun 12, 2010 #6

    Dick

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    Yes. Just 12.
     
  8. Jun 12, 2010 #7
    Thankyou Very Much :D
     
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