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  1. 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 …

  2. 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 …

  3. 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 …

  4. 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.

  5. Why can the base of a logarithm not be negative? [duplicate]

    Sep 27, 2021 · So in most applications, we refuse to use negative bases. HOWEVER, just because the concept of "logarithm" isn't a function on the complex plane, does not mean that …

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

    May 7, 2015 · How do I square a logarithm? Ask Question Asked 10 years, 7 months ago Modified 2 years, 5 months ago

  7. Where did the word "logarithm" come from? - Mathematics Stack …

    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 …

  8. 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?

  9. Approximation of binary logarithm using Taylor series

    May 26, 2025 · Your Taylor series is for the natural logarithm. For the binary logarithm, you have to divide by the natural logarithm of $2$.

  10. education - how to see the logarithm as the inverse function of …

    The other common way is to introduce log as the integral of $1/x$, and define the exponential function as the inverse of that. I’m not aware of any presentation that introduces the functions …