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Math Help - calculate logarithm base 2 of number very close to 1

  1. #1
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    calculate logarithm base 2 of number very close to 1

    I need to calculate logarithm base 2 of number very close to 1. for example
    log2(0.9999999999999999999999999999999 The expected result is around 2^-80.
    I can't calculate it even with Matlab.
    Anyone can help me?
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  2. #2
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    0.999... - Wikipedia, the free encyclopedia...
    log_2 0,(9) = 0
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  3. #3
    MHF Contributor chisigma's Avatar
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    Quote Originally Posted by thehealer View Post
    I need to calculate logarithm base 2 of number very close to 1. for example
    log2(0.9999999999999999999999999999999 The expected result is around 2^-80.
    I can't calculate it even with Matlab.
    Anyone can help me?
    Remembering the 'logarithmics series'...

    (1)

    ... setting if is...

    (2)

    Kind regards

    \chi \sigma
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  4. #4
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    thank you
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