Natural Logarithm: Definition and Properties

This lecture covers the definition of the natural logarithm as the area bounded by specific lines and curves, its geometric interpretation, and properties such as ln(ab) = ln(a) + ln(b). It also explores the continuity of the natural logarithm and its behavior as x approaches infinity or zero. The lecture concludes with the proof that the natural logarithm is a bijection between real numbers. Additionally, it discusses the exponential function and its properties, including the relationship between ln(a) and ln(b).