Abstract: This paper presents two new approximations for the logarithmic and exponential functions. These approximations require only a square rooter function, a scalar function and a constant. Thus, ...

Abstract: In this paper, CMOS realizations of exponential function generators are considered and it is shown that the inherent square-law characteristic of the CMOS can be effectively used to produce ...

\({\log _a}a = 1\) (since \({a^1} = a\)) so \({\log _7}7 = 1\) \({\log _a}1 = 0\) (since \({a^0} = 1\)) so \({\log _{20}}1 = 0\) \({\log _a}p + {\log _a}q = {\log _a ...

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Data from an experiment may result in a graph indicating exponential growth. This implies the formula of this growth is \(y = k{x^n}\), where \(k\) and \(n\) are constants. Using logarithms, we can ...

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 ...

In this post, we will take a gentle dive into logarithmic amplifiers—commonly known as log amps—those quietly powerful circuits that work behind the scenes to decode exponential signals and tame wide ...