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  2. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    The algorithm relies on the fact that every real number x where 1 < x < 2 can be represented as a product of distinct factors of the form 1 + 2 −k. The algorithm sequentially builds that product P, starting with P = 1 and k = 1: if P · (1 + 2 −k) < x, then it changes P to P · (1 + 2 −k). It then increases by one regardless.