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Math Help - Can someone help with this homework question

  1. #1
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    Can someone help with this homework question

    Arrange the following set in ascending order:

    {(n log n^2), 2^n, log 20, 120, log 10, (n^2 log n^2) }

    I believe it is :

    {log20, log10, (n log n^2), (n^2 log n^2), 2^n, 120}
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  2. #2
    MHF Contributor ebaines's Avatar
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    Re: Can someone help with this homework question

    Couple of points:

    1. Comparing the expressions with 'n' in them to the ones that don't - it really depends what the value of 'n' is. For example if n=1 then log(n) = 0 and so n log(n^2) = 0, which is less than log 10 or log 20. But if n = 10 then 10 log 10^2 = 10 log (100), which is greater than log(10) or log(20).

    2. Remember that the log function is monotonically increasing, so log(20) > log(10).
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