Using the Definition of a Logarithm to Solve Logarithmic Equations: Solve log equations using the definition of logarithm | Saylor Academy

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Solve log equations using the definition of logarithm

Source: Alane Tentoni, https://youtu.be/5UxMejLb5Xg
This work is licensed under a Creative Commons Attribution 4.0 License.

COURSE INTRODUCTION

Course Syllabus

Unit 1: Equations and Inequalities

Unit 1 Learning Outcomes

1.1: Solving Linear and Rational Equations in One Variable

Solving Linear Equations in One Variable

Solving Linear Equations Practice

Applications of Linear Equations

Rational Equations

Rational Equations Practice

1.2 Quadratic, Radical, and Absolute Value Equations

Complex Numbers

Solve Quadratic Equations by Factoring

Solving Quadratic Equations Practice

Solve Quadratic Equations Using the Square Root Property

Using the Quadratic Formula and the Discriminant

Equations That Are Quadratic in Form

Absolute Value Equations

Absolute Value Equations Practice

Radical Equations

Radical Equations Practice

1.3: Linear Inequalities

Using Interval Notation and Properties of Inequalities

Solve Simple and Compound Linear Inequalities

Solve Simple and Compound Linear Inequalities Practice

Absolute Value Inequalities

Unit 1 Assessment

Unit 1 Assessment

Unit 2: Introduction to Functions

Unit 2 Learning Outcomes

2.1: Notation and Basic Functions

The Rectangular Coordinate System and Graphs

Defining and Writing Functions

Properties of Functions and Basic Function Types

2.2: Properties of Functions and Describing Function Behavior

Finding the Domain of a Function Defined by an Equation

Finding the Domain of a Function Define by an Equation Practice

Finding Domain and Range from Graphs

Finding Domain and Range from Graphs Practice

Graphing Piecewise-Defined Functions

Graphing Piecewise-Defined Functions Practice

Calculate the Rate of Change of a Function

Determine Where a Function Is Increasing, Decreasing, or Constant

Increasing and Decreasing Functions Practice

Unit 2 Assessment

Unit 2 Assessment

Unit 3: Algebraic Operations on Functions

Unit 3 Learning Outcomes

3.1: Composite Functions

Creating and Evaluating Composite Functions

Creating and Evaluating Composite Functions Practice

Creating and Evaluating Composite Functions Practice II

Finding the Domain of a Composite Function

3.2: Transformations

Graphing Functions Using Vertical and Horizontal Shifts

Graphing Functions Using Vertical and Horizontal Shift Practice

Graphing Functions Using Reflections

Graphing Functions Using Reflections Practice

Determining Whether a Function Is One-to-One

Graphing Functions Using Stretches and Compressions

Compressing and Stretching Graphs Practice

Compressing and Stretching Graphs Horizontally Practice

3.3: Inverse Functions

Inverse Functions

Inverse Functions Practice

Unit 3 Assessment

Unit 3 Assessment

Unit 4: Linear Functions

Unit 4 Learning Outcomes

4.1: Linear Functions

Representations of Linear Functions

Interpreting Slope as a Rate of Change

Interpreting Slope as a Rate of Change Practice

Writing and Interpreting an Equation for a Linear Function

Writing Equations of Lines Practice

Graphing Lines Practice

Parallel and Perpendicular Lines

4.2: Modeling with Linear Functions

Building Linear Models from Words

Modeling a Set of Data with Linear Functions