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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 …

  2. 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 …

  3. 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 …

  4. 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 …

  5. 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 …

  6. 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 …

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

    Sep 27, 2021 · The long story short is that "logarithm" isn't a function on the complex plane (because one input can map to multiple outputs), and there's rarely a real answer when …

  8. Complex Logarithm equations: properties of the log, or a trick that …

    Jul 16, 2021 · After all this, I graphed these both (in terms of e^x) while allowing terms a and b in the logarithm to change independently. No matter what happens, the complex logarithm …

  9. How to convert a logarithm from base 10 to base 2?

    Jul 4, 2023 · How to convert the base $10$ logarithm to base $2$? The question didn't provide the value of the logarithm. The question is: "Given a logarithm in base 10, how can you …

  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