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 …

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?

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 …

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 …

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...

Feb 14, 2016 · The definition of a logarithm in reals may help: logb a log b a is such a real number c c that satisfies bc = a b c = a. For example, log2 131072 = 17 log 2 131072 = 17 because 217 = …

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 …

Feb 25, 2014 · Why must the base of a logarithm be a positive real number not equal to 1? Ask Question Asked 11 years, 11 months ago Modified 6 years, 2 months ago

The domain of logarithm base a a is all positive numbers and range is all real numbers. Using the fact that the domain and range of any invertible function are just the range and domain of its inverse.