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

    (The base-10 logarithm of a number is roughly the number of digits in that number, for example.) Slide rules work because adding and subtracting logarithms is equivalent to multiplication and …

  2. Logarithms with negative bases for real numbers

    2021年10月29日 · Thank you for the answer. I am aware of the general solutions for complex numbers. In my question above I am specifically asking to the definition for real numbers. It is …

  3. Log of a negative number - Mathematics Stack Exchange

    2017年1月9日 · 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 …

  4. Natural log of a negative number - Mathematics Stack Exchange

    2021年1月10日 · My teacher told me that the natural logarithm of a negative number does not exist, but $$\ln (-1)=\ln (e^ {i\pi})=i\pi$$ So, is it logical to have the natural logarithm of a …

  5. 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 …

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

    2013年11月29日 · 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?

    2017年6月28日 · 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 …

  8. Calculate logarithms by hand - Mathematics Stack Exchange

    I'm thinking of making a table of logarithms ranging from 100-999 with 5 significant digits. By pen and paper that is. I'm doing this old school. What first came to mind was to use $\\log(ab) = \\lo...

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

    2015年5月7日 · How do I square a logarithm? Ask Question Asked 10 years, 5 months ago Modified 2 years, 3 months ago

  10. Is there a term for the process of "taking a logarithm"?

    2 "Logarithming" sounds like some sort of bad competition where you carve wooden logs or something, but everyone somewhat mathematically inclined would most likely understand that …