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  1. What algorithm is used by computers to calculate logarithms?

    I would like to know how logarithms are calculated by computers. The GNU C library, for example, uses a call to the fyl2x() assembler instruction, which means that logarithms are calculated directl...

  2. What is discrete logarithm? - Mathematics Stack Exchange

    Jul 5, 2020 · The discrete Logarithm is just reversing this question, just like we did with real numbers - but this time, with objects that aren't necessarily numbers. For example, if a ⋅ a =a2 = b a a = a 2 = b, …

  3. What is the point of logarithms? How are they used?

    Logarithms are defined as the solutions to exponential equations and so are practically useful in any situation where one needs to solve such equations (such as finding how long it will take for a …

  4. Log of a negative number - Mathematics Stack Exchange

    Jan 9, 2017 · The point is: the complex logarithm is not a function, but what we call a multivalued function. To turn it into a proper function, we must restrict what θ θ is allowed to be, for example θ ∈ …

  5. Why must the base of a logarithm be a positive real number not equal …

    Feb 25, 2014 · We leave the logarithm undefined in that case, as you said in your original question: the logarithm is only defined for a positive base. We could say that $\log_ {-1} 1 $ is 0 and 2, and 4, and …

  6. How do I square a logarithm? - Mathematics Stack Exchange

    May 7, 2015 · How do I square a logarithm? Ask Question Asked 10 years, 9 months ago Modified 2 years, 7 months ago

  7. What is the fastest algorithm for finding the natural logarithm of a ...

    Oct 5, 2019 · The discrete logarithm tag relates to a problem of solving equations modulo an integer, not to computing the natural logarithm.

  8. terminology - Where did the word "logarithm" come from?

    May 8, 2011 · logarithm: 1610s, Mod.L. logarithmus, coined by Scottish mathematician John Napier (1550-1617), lit. "ratio-number," from Gk. logos "proportion, ratio, word" algorithm: was derived from …

  9. Taylor Series for $\log (x)$ - Mathematics Stack Exchange

    Nov 29, 2013 · Does anyone know a closed form expression for the Taylor series of the function $f (x) = \log (x)$ where $\log (x)$ denotes the natural logarithm function?

  10. How is $\\ln$ pronounced by English speakers?

    Jun 28, 2017 · Here I was exposed to so many variations: Saying the two letters l n Saying "log"/"logarithm" Saying "natural log" Saying "log e" All of the above were native-English speakers …