
Natural log of a negative number - Mathematics Stack Exchange
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?
Log of a negative number - Mathematics Stack Exchange
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 …
Why can the base of a logarithm not be negative? [duplicate]
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 …
What algorithm is used by computers to calculate logarithms?
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...
What is the point of logarithms? How are they used?
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 …
How do I square a logarithm? - Mathematics Stack Exchange
May 7, 2015 · How do I square a logarithm? Ask Question Asked 10 years, 9 months ago Modified 2 years, 7 months ago
Units of a log of a physical quantity - Mathematics Stack Exchange
Nov 16, 2012 · What happens to the units of a physical quantity after I take its (natural) logarithm. Suppose I am working with some measured data and the units are Volts. Then I want to plot the time …
How to convert a logarithm from base 10 to base 2?
Jul 4, 2023 · 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 change …
How to solve equations when logarithm is the exponent?
Here is an example problem where the logarithm is expressed as an exponent. Please help me understand this concept its not properly covered in my textbook. $$ 3^{\\log_3 (2k)} = 9 $$
What is discrete logarithm? - Mathematics Stack Exchange
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}$, …