Exponential Functions, Equations, and Inequalities

Exponential growth and decay govern everything from compound interest to population dynamics, yet mastering the mathematics behind them can feel daunting. This course guides you through the foundational principles of exponential functions, equations, and inequalities, equipping you with the analytical tools to solve academic and practical problems. What you'll learn: • Understand the core properties of exponents, bases, and the behavior of exponential curves. • Solve exponential equations using algebraic manipulation and properties of equality. • Master exponential inequalities by analyzing base behaviors and domain constraints. • Apply exponential models to real-world scenarios like financial growth and decay processes. • Practice step-by-step problem-solving techniques through written exercises and detailed solutions. Starting with basic definitions and algebraic properties, the course moves systematically into solving techniques and practical applications. This course is designed for beginners, students, and anyone looking to refresh their algebra skills with no prior advanced math required. Read on to build your mathematical confidence and master exponential concepts.