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?

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 ⋅ a =a2 = b a a = a 2 = b, …

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 …

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 …

Oct 5, 2019 · The discrete logarithm tag relates to a problem of solving equations modulo an integer, not to computing the natural logarithm.

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

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 ∈ …

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...

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 ALWAYS lies on …

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 dealing with negative …