Graphs of exponential functions and logarithmic functions provide a visual insight into their properties, such as growth, decay, and the inverse relationship between them. Graphs of exponential ...

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 ...

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 ...

Department of Quantitative Analysis, King Saud University, Riyadh, KSA. The study of life length of organisms, structures, materials, etc., is very important in the biological and engineering sciences ...

Logarithmic functions are an essential part of many mathematical and scientific concepts. These functions have several properties that can help us solve complex equations and understand the behavior ...