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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. 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 …

  3. 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 …

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

    Dec 5, 2023 · Beware that $\log$ does not unambiguously mean the base-10 logarithm, but rather "the logarithm that we usually use". In many areas of higher mathematics, $\log$ means the …

  5. Why the number e(=2.71828) was chosen as the natural base for …

    Possible Duplicate: What's so “natural” about the base of natural logarithms? Why the number e(=2.71828) was chosen as the natural base for logarithm functions ? Mainly I am interested in …

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

    Feb 25, 2014 · Why must the base of a logarithm be a positive real number not equal to 1? Ask Question Asked 11 years, 8 months ago Modified 5 years, 11 months ago

  7. 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 …

  8. education - how to see the logarithm as the inverse function of …

    how to see the logarithm as the inverse function of the exponential? Ask Question Asked 11 years, 4 months ago Modified 9 years, 1 month ago

  9. taylor expansion - Calculate logarithm by hand from the beginning ...

    Jul 5, 2020 · I want to calculate the logarithm of any base completely by hand. I don't want to use a calculator, tables or predefined numbers. The only mathematical functions available for the …

  10. 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 …