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Math Help - Possible? - Gather/Less than with an unknown variable

  1. #1
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    Possible? - Gather/Less than with an unknown variable

    Kai I was thinking if you possible could get the, closest to the number with a formal or something. The problem is:
    2^x<Y
    Y can for the matter be any number we can in this example use 1000 so it named
    2^x<1000
    How can you find what maxium for "x" is?
    Or is that out of the mathematic and thefore only way is to guessing (Thats what my math teacher says)

    Regards Nicki (:
    Last edited by spil778; November 19th 2012 at 05:22 AM.
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  2. #2
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    Re: Possible? - Gather/Less than with an unknown variable

    The largest integer x such that 2^x\le y is \lfloor\log_2 y\rfloor where \log_2 is logarithm to the base 2 and \lfloor\cdot\rfloor is the floor function.
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