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

    Jan 10, 2021 · 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 negative number?

  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 θ θ is allowed to be, for example θ ∈ …

  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. Why are logarithms not defined for 0 and negatives?

    I can raise 0 0 to the power of one, and I would get 0 0. Also −1 1 to the power of 3 3 would give me −1 1. I think only some logarithms (e.g log to the base 10 10) aren't defined for 0 0 and negative …

  5. The difference between log and ln - Mathematics Stack Exchange

    Beware that log log does not unambiguously mean the base-10 logarithm, but rather "the logarithm that we usually use". In many areas of higher mathematics, log log means the natural logarithm and the …

  6. 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...

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

    Jun 28, 2017 · Since the natural logarithm is indeed the natural logarithm to use in calculus, it is written as log log with no subscript. Some mathematicians write it as ln ln but still understand log log written …

  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. Is $\\log0$ defined or not? - Mathematics Stack Exchange

    Nov 21, 2019 · We expect that from all standard functions including logarithm, power, exponent, trigonometric functions, their finite combinations, etc. If we were in any other field rather than math, …

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

    May 7, 2015 · How do I square a logarithm? Ask Question Asked 10 years, 8 months ago Modified 2 years, 6 months ago