A scientific calculator has two 'log' buttons on it. These are marked log and ln. The log key is used for calculations of the form \({\log _{10}}x\). For example, to work out that \(\log 10000 = 4\) ...

A logarithm is the power which a certain number is raised to get another number. Before calculators and various types of complex computers were invented it was difficult for scientists and ...

A logarithm is a mathematical operation that determines how many times a certain number, called the base, is multiplied by itself to reach another number. Because logarithms relate geometric ...

Let $\{X_i\}$ be a sequence of independent, identically distributed nondegenerate random variables and $S_n = \sum^n_{i = 1}X_i$. We consider the question for various ...

NO practical man ever saw the least difficulty either in the idea of logarithms to a given base or in the use of common logarithms in arithmetical work. But if the practical man becomes inquisitive as ...

If $s(t, x)$ is the local time of a Brownian motion, we show that $\theta(\alpha) = \lim \sup_{t \rightarrow \infty} \inf_{|x| \leq \alpha t^{1/2}(2 \log \log t)^{-1/ ...

[Ihsan Kehribar] points out a clever trick you can use to quickly and efficiently compute the logarithm of a 32-bit integer. The technique relies on the CLZ instruction which counts the number of ...

There was a time not so long ago when calculators weren’t standard equipment for computations. The log() button did not exist, and some math had to be done by hand. John Napier and his logarithm ...