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Math Help - Solving a logarithmic inequality.

  1. #1
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    Solving a logarithmic inequality.

    Hello,

    I would like to ask how this inequality :

    (ln{2})^{n}<\frac{0.02(1-ln{2})}{2^{-0.5}-0.5}

    results to this inequality:

    n>\frac{ln{(\frac{0.02(1-ln{2})}{2^{-0.5}-0.5})}}{ln({ln{2})}}

    I am working on it for quite long now and I cannot justify why it changed from smaller to bigger, I find that n is smaller not bigger.

    Please any help would be gladly appreciated,
    Thank you!
    Last edited by mr fantastic; September 30th 2011 at 02:31 PM. Reason: Re-titled.
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  2. #2
    Super Member Quacky's Avatar
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    Re: LOGARITHMIC INEQUALITY RESULT [don't understand]

    ln(ln(2)) is negative, so when you divide through by it, the inequality sign changes.
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  3. #3
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    Solved

    Hi there!

    Sad to say.. but I didn't know that! I had to check it out and you are right it is negative because 2<e.

    Thank you very much for the solution, helped me alot!

    Bye!
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  4. #4
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    Re: Solved

    Quote Originally Posted by Melsi View Post
    Hi there!

    Sad to say.. but I didn't know that! I had to check it out and you are right it is negative because 2<e.
    actually, because \ln{2} < 1
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