Exponential Functions and Logarithms: Natural Base e to Function Modeling - Chapter 5 Review

Overview

Watch a comprehensive 85-minute math tutorial that builds upon prior knowledge of exponential functions and inverses to develop a thorough understanding of logarithms. Master the evaluation, graphing, simplification, and solving of logarithmic equations and inequalities through 36 detailed example problems. Progress through six key sections covering the natural base e, logarithmic functions and their properties, transformations of exponential and logarithmic functions, solving equations, and real-world modeling applications. Follow along with downloadable textbook materials and graph paper while learning how exponential and logarithmic functions interconnect. Navigate easily through the content using detailed timestamps for each problem and section, ensuring targeted practice in areas needing review.

Syllabus

Introduction
5.1 - THE NATURAL BASE 'e'
Problem #1
Problem #2
Problem #3
Problem #4
Problem #5
Problem #6
5.2 - LOGARITHMS AND LOGARITHMIC FUNCTIONS
Problem #7
Problem #8
Problem #9
Problem #10
Problem #11
Problem #12
Problem #13
5.3 - TRANSFORMATIONS OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Problem #14
Problem #15
Problem #16
Problem #17
5.4 - PROPERTIES OF LOGARITHMS
Problem #18
Problem #19
Problem #20
Problem #21
Problem #22
Problem #23
Problem #24
Problem #25
Problem #26
5.5 - SOLVING EXPONENTIAL AND LOGARITHMIC EQUATIONS
Problem #27
Problem #28
Problem #29
Problem #30
Problem #31
Problem #32
5.6 - MODELING WITH EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Problem #33
Problem #34
Problem #35
Problem #36