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 …

In mathematics, $\log n$ is most often taken to be the natural logarithm. The notation $\ln (x)$ not seen frequently past multivariable calculus, since the logarithm base $10$ finds relatively little use.

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...

Oct 11, 2020 · Why does the inequality sign change when applying a logarithm on both sides, with the base less than $1$? I came across the following math which I solved if 2 ways, $$ \left (\frac {1} …

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 …

Jun 30, 2016 · logarithm of a sum or addition Ask Question Asked 9 years, 9 months ago Modified 9 years, 9 months ago

The Log function is the inverse of the exponential function. So in short, use logarithms when given the answer to an exponent problem, and wish to know the question. Exponent problem "At 2% …

Discrete logarithm modulo powers of a small prime Ask Question Asked 9 years, 9 months ago Modified 9 years, 9 months ago

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?

If anyone feels particularly inclined, I was also wondering if the power series I've taken as the definition of the matrix logarithm above is indeed the definition and if so, why that one is chosen. Is it purely in …