Base e and Natural Log Explained - From Basics to Word Problems
In this video, we explore the concept of base e (Euler’s number ≈ 2.718) and the natural logarithm (ln), explaining where they come from and why they matter. We walk through how to use e and ln to solve three real problems: 1. An exponential equation using ln 2. A second equation involving e and solving for x 3. A real-world word problem on radioactive decay (Carbon-14) We tie it all together with the exponential decay formula: y = ae^–kt. Whether you're in Algebra 2, Precalculus, or reviewing for the SAT, this lesson builds a solid foundation for understanding exponential growth and decay using e and ln. 👍 Like the video 🔔 Subscribe for more math lessons every week! ⏱️ Video Chapters: 00:00 Introduction 00:08 Concept 01:04 Inverse of e 02:24 Solving Equations 03:24 Word Problem #NaturalLog #BaseE #ExponentialDecay #Algebra2 #Precalculus #RadioactiveDecay #MathHelp #MrHeatonsMathLab
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