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Thread: Which one is the biggest?

  1. #1 Which one is the biggest? 
    Forum Freshman IAlexN's Avatar
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    I really need some help from some math buff, with this question.
    Which one of these are the biggest; 99^100 or 100^99?

    My math teacher was not able to answer this question.

    Please show your work.

    Thank you in advance,


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  3. #2  
    Administrator KALSTER's Avatar
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    The first one is bigger.

    Is this homework?


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  4. #3  
    Forum Ph.D. Heinsbergrelatz's Avatar
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    the first one is bigger. (is it hmwrk? quiz?) :wink:

    this is how i did it, but it might not be entirely correct;
    which gives
    these two values basically represent the exponent of the two values in origin , with a base of 10. so in conclusion it would be like this; which clearly tells you which one is bigger.

    you can also use natural logarithms ,except the base will no longer be 10 but it would be

    (im thinking that you already are familiar with logarithms.)
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  5. #4 Thanks 
    Forum Freshman IAlexN's Avatar
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    Thanks!

    No it was not homework, It was a question in my text book. And I didn't know how to solve it, so I asked my teacher, but she didn't know either, so I posted it here.
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