1.5 Exponential and Logarithmic Functions

OpenStax Calculus Volume 1 — Section 1.5

Learning Objectives

  • Graph exponential functions \(a^x\) and identify growth vs. decay

  • Define \(e\) as \(\lim_{n \to \infty} (1 + 1/n)^n\) and understand its significance

  • Apply logarithm properties: product, quotient, power rules

  • Solve exponential and logarithmic equations algebraically

Key Concepts

To be filled during study.

Practice Problems

To be completed with textbook exercises.

Section Summary

To be written after completing the section.

Study Notes

Personal observations and connections to engineering work.