LESSON 6: SOLVING EXPONENTIAL & LOGARITHMIC EQUATIONS (PART 1)
We finally get to the entire purpose of Chapter 8, being able to solve equations with variables in the exponent. Now that we know what a logarithm is and how operations like addition and subtraction work inside of the logarithms, it is time to actually put them into practice in solving equations. This section is large and very important, so we will be dividing it up into two parts. Check out the introduction video below, then grab your Cornell Notes sheet to use as you watch the Absorb presentation for lesson 6.
Introduction
SWBAT
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Use logarithms to solve exponential equations.
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Evaluate logarithmic expressions using a graphing calculator including the Change-of-Base formula.
Absorb
Exponential Growth Presentation
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Use your Cornell Notes to document important information, processes and/or questions you have.
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Notes will be checked and scored for content at the beginning of class on April 4. Make sure to have any questions you have written down for clarification.
Do
Practice Problems: 21-57(Divisible by 3),63,64,70 (pg.505)
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McDougal Littell - Algebra II - Copyright 2004
Social Learning Activity
After completeing the Absorb and Do activities, you should now have at least an introductory understanding of solving exponential equations with logarithms. You will now participate in a discussion board concerning the use of logarithms and their purpose. Read the directions below and then use the link that follows. You will receive 5 points for completing each part of the discussion board assignment (10 total points). You can sign-in with your Google account so that I can identify who is posting. If you don't have a Google account, be sure to put your name in your initial post and reply to others so that I can give you credit.
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Part 1: Are you still puzzled about what exactly a logarithm does? Why are they necessary? Contribute to the discussion below by creating a post of your own answering the following questions. (5 points)
1) Give an example of an exponential equation (variable in the exponent) that you could solve WITHOUT a logarithm. Why don't you need it?
2) Give an example of an exponential equation (variable in the exponent) that you NEED a logarithm to be able to solve. Why do you need it?
Part 2: Read through your peers posts and compare their questions/answers to yours. What commonalities do you see? What about differences? Reply to one of your peers posts with suggestions, clarification or other comments that might help further the understanding of logarithms. (5 points)
Assessment
Complete the Solving Exponential & Logarithmic Equations Assessment. The assessment is due Wednesday, April 6 at 11:59 PM.
Directions
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Go to the Lesson 6 Assessment (5 questions) - Link to the assessment is above
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Enter the Game Code 018038 and click PROCEED
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Enter your name (First & Last) and click JOIN GAME.
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Answer the questions. You are allowed 15 minutes per question.
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EXIT the game when you have completed the assessment.
Grading Scale
A = 90% - 100%
B = 80% - 89%
C = 70% - 79%
D = 60% - 69%
F = 0% - 59%
Grade Weighting
Homework Assignments = 30%
Assessments/Projects = 70%
For more details on grading, please refer to the Course Syllabus.
Summary
A logarithm is a tool that allows us to solve equations that have variables in the exponent, especially when the solution is not a whole number. Students should be able to use logarithms to solve exponential equations. They should also be able to use a graphing calculator and the change-of-base formula to evaluate logarithmic expressions.