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...

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 example …

Sep 27, 2021 · So in most applications, we refuse to use negative bases. HOWEVER, just because the concept of "logarithm" isn't a function on the complex plane, does not mean that we can't USE …

May 26, 2025 · Your Taylor series is for the natural logarithm. For the binary logarithm, you have to divide by the natural logarithm of $2$.

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 …

May 7, 2015 · How do I square a logarithm? Ask Question Asked 10 years, 11 months ago Modified 2 years, 8 months ago

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 a = a^2 = b}$, …

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?

May 8, 2011 · logarithm: 1610s, Mod.L. logarithmus, coined by Scottish mathematician John Napier (1550-1617), lit. "ratio-number," from Gk. logos "proportion, ratio, word" algorithm: was derived from …

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 natural …