Index laws and the laws of logarithms are essential tools for simplifying and manipulating exponential and logarithmic functions. There is an inverse relationship between exponential and logarithmic ...

Logarithms play an essential role in the world of mathematics. These functions help simplify complex calculations, primarily in the fields of engineering, physics, and computer science. Here are three ...

Exponential and logarithmic functions are mathematical concepts with wide-ranging applications. Exponential functions are commonly used to model phenomena such as population growth, the spread of ...

\({\log _a}a = 1\) (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 ...

A polynomial is an algebraic expression involving many terms and can be factorised using long division or synthetic division. Laws of logarithms and exponents Revise what logarithms are and how to use ...

Course Description: Quadratic equations, inequalities, logarithmic and exponential functions, graphs, elements of theory of equations, systems of equations. *Note: This course is designed to prepare ...

Introduction: The domain of a function is the set of all possible input values (x-values) for which the function is defined. Understanding the domain is crucial for solving mathematical problems and ...

Abstract: The apparatus of integral equations is currently widely used in solving applied problems of radio engineering and signal theory. Application of integral equations allows to reduce the ...