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Logarthmic problem!

  1. Feb 18, 2009 #1
    Hi, I have a log problem. Can anyone please check if I did it correctly!?

    1. The problem statement, all variables and given/known data
    Evaluate the following using the laws of logarithms.
    Simplify your answer as much as possible. (Note:
    These should be done without a calculator).

    [log(5)+log(2)] / log2(cubic root of 10)
    = log(5*2) / log2 (10)1/3
    = log(10) / 1/3*log2(10)
    = 3 / log2(10)


    Is this simplified correctly? Can we simplify more?
     
  2. jcsd
  3. Feb 18, 2009 #2

    symbolipoint

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  4. Feb 18, 2009 #3
    Thank you!
     
  5. Feb 18, 2009 #4

    symbolipoint

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    Know this: Your notation is faulty near the end of your steps.

    This, "= log(10) / 1/3*log2(10)" is not what you meant.
    You really meant and should have written, log2(10)/(1/3)*log2(10)
     
  6. Feb 19, 2009 #5

    HallsofIvy

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    That is because 1/ab is normally read as 1/(ab), not as (1/a) b.
     
  7. Feb 19, 2009 #6
    Yes, that what I meant symbolipoint. Thank you everybody! I need to pay more attention on how I write it properly.
    Sincerely,
     
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