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 …
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 …
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 …
Logarithms with negative bases for real numbers
Oct 29, 2021 · Thank you for the answer. I am aware of the general solutions for complex numbers. In my question above I am specifically asking to the definition for real numbers. It is …
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 …
Calculate logarithms by hand - Mathematics Stack Exchange
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...
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 …
How do I square a logarithm? - Mathematics Stack Exchange
May 7, 2015 · How do I square a logarithm? Ask Question Asked 10 years, 6 months ago Modified 2 years, 4 months ago
How is $\\ln$ pronounced by English speakers?
Jun 28, 2017 · Here I was exposed to so many variations: Saying the two letters l n Saying "log"/"logarithm" Saying "natural log" Saying "log e" All of the above were native-English …
Taylor Series for $\log (x)$ - Mathematics Stack Exchange
Nov 29, 2013 · Does anyone know a closed form expression for the Taylor series of the function $f(x) = \\log(x)$ where $\\log(x)$ denotes the natural logarithm function?