Dive into a comprehensive exploration of logarithmic properties in this 54-minute lecture from Professor Leonard's Intermediate Algebra series. Gain a deep understanding of the fundamental rules governing logarithms, including the product rule, quotient rule, and power rule. Learn how to manipulate and simplify logarithmic expressions using these properties, and discover their practical applications in solving complex algebraic problems. Enhance your mathematical skills and confidence in working with logarithms through clear explanations and numerous examples provided by the experienced educator.