Unit 5: Modeling with Exponential & Logarithmic Functions Ms. C. Taylor.

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Presentation transcript:

Unit 5: Modeling with Exponential & Logarithmic Functions Ms. C. Taylor

Warm-Up

Graphing Exponential Equations

Warm-Up

Logarithms

Inverse Property of Exponents & Logarithms

Property of Equality for Logarithmic Functions

Property of Inequality for Logarithmic Functions

Product Property of Logarithms

Example #1

Example #2

Quotient Property of Logarithms

Example #3

Example #4

Power Property of Logarithms

Examples

Warm-Up

Find Common Logarithms

Change of Base Formula

Examples

Evaluate Natural Base Expressions

Evaluate Natural Logarithmic Expressions

Equivalent Expressions

Warm-Up

Inverse Property of Base e & Natural Logarithms

Evaluate Logarithmic Expressions

Solve Logarithmic Equations

Solve Equations with Logarithms on Both Sides

Solve Equations using Properties of Logarithms

Warm-Up

Solve Exponential Equations using Logarithms

Solve Base e Equations

Solve Natural Log Equations & Inequalities