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Math Help - Leading digit in decimal notation

  1. #1
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    Leading digit in decimal notation

    Hello!

    I have this problem:

    How many of the numbers 2^m, for 0<=m<=M, have leading digit 1 in decimal notation?
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  2. #2
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    Re: Leading digit in decimal notation

    I don't know any way of solving this other than brute force. The answer is 31.

    Leading digit in decimal notation-clipboard01.jpg
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