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...

May 7, 2015 · Is the logarithm function injective (one-to-one)? 2. How to solve this logarithm equation. 0.

Logarithms are a convenient way to express large numbers. (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 division. (This benefit is slightly less important today.) Lots of things "decay logarithmically".

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...

"Logarithming" sounds like some sort of bad competition where you carve wooden logs or something, but everyone somewhat mathematically inclined would most likely understand that you mean "taking the logarithm" with this. On that note; what I always use myself is what you said yourself, namely "taking the logarithm" or "taking the log of".

Dec 27, 2016 · $\begingroup$ yeah, you're right, especially because in some settings it might be natural to wonder what the complex argument of a logarithm is. Although in reality I don't think an actual name is needed for the number for which the log is being calculated. $\endgroup$

Now, all of these need an unbelievable amount of time to build a table of logarithms, even if you want only logs of numbers from $100$ to $1000$ to four decimals. And there is no simple way to compute just one logarithm only by hand. There are the series above, polynomial approximations, and probably other ways, but nothing as easy to use as a ...

Jun 28, 2017 · It is unfortunate that secondary-school algebra textbooks teach students that "log" with no subscript always means the base-$10$ logarithm. Since the natural logarithm is indeed the natural logarithm to use in calculus, it is written as $\log$ with no subscript. Some mathematicians write it as $\ln$ but still understand $\log$ written by others ...

Dec 11, 2021 · Okay, now this is where the discrete comes in: the discrete Logarithm is essentially just the Logarithm over a finite group. I'll explain what that means below; A group in Mathematics is just a set of objects that have a sort of "multiplication operation" associated with them - for example, the real numbers (technically without $0$ ) form a ...

Jun 30, 2016 · Logarithm - Transferring properties of a Sum to an Integral. Hot Network Questions Generalization of ...