Course description

The course introduces the inverse of exponential functions, logarithms. Through guided exploration, you'll grasp why logarithms answer questions like "how long until my investment doubles?" or "when will this substance decay to safe levels?" Logarithms unlock solutions to previously unsolvable problems. Beyond evaluating log expressions and using them to solve equations, you'll learn the "why" behind the algebraic rules. Rather than memorizing formulas, you'll investigate the logical foundation of logarithmic properties. You'll discover why multiplying inputs leads to adding outputs, why certain transformation rules hold true, and how these patterns connect to real-world scenarios. Each property emerges naturally from hands-on investigation and reasoning. By the end, you'll recognize logarithmic relationships in everyday life and deepen your understanding of exponential relationships.