Understanding Logarithms as Inverse Exponentials: A Comprehensive Lesson

Jan 28, 2026

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In this lesson, students will explore the concept of logarithms as the inverse of exponential functions. They will redevelop the log function by reversing a table for an exponential function and practice converting between exponential and logarithmic equations. Additionally, students will learn to formally define the log function and its properties. Key vocabulary such as "logarithm" and "closure" will be discussed. The assignment includes exercises from Pg. 152 #3-73 to 3-81 to reinforce understanding.

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Understanding Logarithms as Inverse Exponentials: A Comprehensive Lesson

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Section 3.2.2 Logs as Inverse Exponentials
Lesson Objective: Students will: • Redevelop the log function by reversing a table for an exponential function. • Practice converting between exponential and log equations. • Formally define the log function.
Vocabulary: Logarithm

Closure What is a logarithm? When the base is not shown in a logarithm, what is it assumed to be?
Closure Write a logarithmic equation for Write an exponential equation for What is the inverse to an exponential function called?
Assignment Pg 152#3-73 to 3-81