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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 for a …

  2. 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 $\theta$ is allowed to be, for example …

  3. 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...

  4. Units of a log of a physical quantity - Mathematics Stack Exchange

    Nov 16, 2012 · What happens to the units of a physical quantity after I take its (natural) logarithm. Suppose I am working with some measured data and the units are Volts. Then I want to plot the time …

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

    May 7, 2015 · How do I square a logarithm? Ask Question Asked 10 years, 6 months ago Modified 2 years, 4 months ago

  6. 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?

  7. 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 …

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

    Feb 25, 2014 · Why must the base of a logarithm be a positive real number not equal to 1? Ask Question Asked 11 years, 9 months ago Modified 6 years ago

  9. 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 we can't USE …

  10. When log is written without a base, is the equation normally referring ...

    In mathematics, $\log n$ is most often taken to be the natural logarithm. The notation $\ln (x)$ not seen frequently past multivariable calculus, since the logarithm base $10$ finds relatively little use.