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  1. 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 $2$.

  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. 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 …

  5. How to solve equations when logarithm is the exponent?

    Here is an example problem where the logarithm is expressed as an exponent. Please help me understand this concept its not properly covered in my textbook. $$ 3^{\\log_3 (2k)} = 9 $$

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

    May 7, 2015 · How do I square a logarithm? Ask Question Asked 10 years, 10 months ago Modified 2 years, 8 months ago

  7. 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?

  8. 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\cdot a = a^2 = b}$, …

  9. 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 …

  10. logarithms - How to type logarithmic functions into Desmos graphing ...

    Jun 2, 2022 · Thank you, but I don't understand what is "a" there? Is that the base? How should I go about logarithm of 10 with the base of 5? If I click on that button I get "log ( )". How do I proceed from …