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?

Oct 29, 2021 · 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 in that scenario that …

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 ∈ …

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 …

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 …

Jun 28, 2017 · 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 speakers …

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...

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...

I am trying to prove that the natural logarithm is concave by using the fact that for x> 0, log(x) ≤ x − 1 x> 0, log (x) ≤ x 1. But I’m not sure if this is possible now.

May 14, 2021 · Currently, in my math class, we are learning about logarithms. I understand that the common logarithm has a base of 10 and the natural has a base of e. But, when do we use them? For …