MATHEMATICS S5 UNIT 3: Logarithmic and Exponential Equations.

Logarithmic and exponential functions are fundamental concepts in mathematics with wide-ranging applications in science, finance, engineering, and more. They are inverse functions of each other, meaning they “undo” each other, much like addition and subtraction, or multiplication and division.

I. Exponential Functions

Exponential functions describe rapid growth or decay. The key characteristic is that the variable is in the exponent.

II. Logarithmic Functions.

Logarithmic functions are the inverse of exponential functions. A logarithm answers the question: “To what power must we raise the base to get a certain number?”