Exponential and Logarithmic Equations

8.1 Solving Exponential Equations Using Exponent Properties

• Explanation:

  • Notes | Annotated | Video

  • Khan video: Solving exponential equations using exponent properties

  • Khan video: Solving exponential equations using exponent properties (advanced)

• Practice Problems:

  • Khan exercise: Solve exponential equations using exponent properties

  • Khan exercise: Solve exponential equations using exponent properties (advanced)

  • Worksheet #1 | Answers

8.2 Evaluating Logarithmic (by hand)

• • Explanation:

    • Notes | Annotated | Video

    • Khan video: Evaluating logarithms (advanced)

  • Practice Problems:

    • Khan exercise: Evaluate logarithms (advanced)

    • Worksheet #1 | Answers

8.3 Properties of Logs

• • Explanation:

    • Notes | Annotated | Video

    • Khan video: Intro to logarithm properties (1 of 2)

    • Khan video: Intro to logarithm properties (2 of 2)

    • Khan article: Intro to logarithm properties

    • Khan video: Using the logarithmic product rule

    • Khan video: Using the logarithmic power rule

    • Khan video: Using the properties of logarithms: multiple steps

  • Practice Problems:

    • Khan exercise: Use the properties of logarithms

    • Worksheet #1

8.4 Solving Exponential Equations (by Using the Change of Base Formula or by Taking the Log of Both Sides)

• • Explanation

    • Notes | Annotated

    • Change of base:

      • Khan video: Evaluating logarithms: change of base rule

      • Khan article: Logarithm change of base rule intro

      • Khan video: Change of base formula proof (honors)

      • Khan video: Using the logarithm change of base rule

      • Khan article: Logarithm properties review (includes log properties)

    • Solving Exponential Equations

      • Youtube

      • Khan video: Solving exponential equations using logarithms: base-10

      • Khan text: Solving exponential equations using logarithms

      • Khan video: Solving exponential equations using logarithms: base-2

  • Practice Problems:

    • Change of Base:

      • Khan exercise: Evaluate logarithms: change of base rule

      • Khan exercise: Use the logarithm change of base rule (uses multiple properties) - extra credit

    • Solving Exponential Equations

      • Khan Exercises: Solve exponential equations using logarithms: base-10 and base-e

      • Khan Exercises: Solve exponential equations using logarithms: base-2 and other bases

    • Worksheet #1

8.5 Solving Logarithmic Equations

• • Explanation:

    • Notes | Annotated | Video

    • Khan: How to solve a logarithmic equation with a variable in the base (example)

  • Practice Problems:

    • Worksheet #1 | Answers

8.6 Using Exponential and Logarithmic Models

• • Explanation:

    • Notes | Annotated | Video

    • Khan video: Exponential model word problem: medication dissolve

    • Khan video: Exponential model word problem: bacteria growth

  • Practice Problems:

    • Khan exercise: Exponential model word problems

    • Worksheet #1

Review

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