
What is the point of logarithms? How are they used?
(The base-10 logarithm of a number is roughly the number of digits in that number, for example.) Slide rules work because adding and subtracting logarithms is equivalent to multiplication and …
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 …
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 …
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 …
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...
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 …
How is $\\ln$ pronounced by English speakers?
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 …
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, 3 months ago
Why is Euler's number used as a base for logarithms?
Apr 23, 2016 · Shortly after the work of Napier, Briggs, inspired by that work, produced tables of the base $10$ logarithm. Related tables were used for computations for centuries.
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 …