2021年1月10日 · 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?

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 …

2020年7月5日 · 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}$, …

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...

2017年6月28日 · 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 …

2017年1月9日 · 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 ∈ …

2021年9月27日 · 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 …

2021年7月16日 · 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 …

2023年7月4日 · How to convert the base $10$ logarithm to base $2$? The question didn't provide the value of the logarithm. The question is: "Given a logarithm in base 10, how can you use the …

2015年5月7日 · How do I square a logarithm? Ask Question Asked 10 years, 8 months ago Modified 2 years, 6 months ago