Algebra 2 7-5 Complete Lesson: Exponential and Logarithmic Equations

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A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

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Algebra 2 7-5 Complete Lesson: Exponential and Logarithmic Equations

Algebra 2 7-5 Complete Lesson: Exponential and Logarithmic Equations

Solve It! You're a winner on a TV game show. Which prize is the better deal? Explain.

Problem 1 Got It?

Problem 2 Got It? What is the solution? Round your answer to the hundredths place.

Problem 2 Got It? Reasoning: Why can't you use the same method you used in Problem 1 to solve Problem 2?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It? Resource Management: Wood is a sustainable, renewable, natural resource when you manage forests properly. Your lumber company has 1,200,000 trees. You plan to harvest 5% of the trees each year. How many years will it take to harvest half of the trees?

Problem 5 Got It?

Problem 6 Got It?

What is the solution of the equation?

Error Analysis: Describe and correct the error made in solving the equation.

Review Lesson 7-4: Expand the logarithm.

Review Lesson 6-6: Let f(x) = 3x and g(x) = x2 - 1. Perform each function operation on the right and identify its equivalent expression in simplest form from the left.

Review Lesson 5-6: Find all the zeros of each function on the right. Match the zeros on the left with the function(s) to which they belong. Some zeros may not be needed.

Review Lesson 7-4: Write the logarithmic expression as a single logarithm.

Review Lesson 7-4: Write the logarithmic expression as a single logarithm.

Vocabulary Review: Identify the base and exponent from each expression. Not all items from the left column will be used.

Vocabulary Review: Which expression is read "five to the third power"?

Use Your Vocabulary: Match each equation on the left with the operation(s) needed to isolate the variable on the right.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Solve It! You're a winner on a TV game show. Which prize is the better deal? Explain.

Problem 1 Got It?

Problem 2 Got It? What is the solution? Round your answer to the hundredths place.

Problem 2 Got It? Reasoning: Why can't you use the same method you used in Problem 1 to solve Problem 2?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It? Resource Management: Wood is a sustainable, renewable, natural resource when you manage forests properly. Your lumber company has 1,200,000 trees. You plan to harvest 5% of the trees each year. How many years will it take to harvest half of the trees?

Problem 5 Got It?

Problem 6 Got It?

What is the solution of the equation?

Error Analysis: Describe and correct the error made in solving the equation.

Review Lesson 7-4: Expand the logarithm.

Review Lesson 6-6: Let f(x) = 3x and g(x) = x2 - 1. Perform each function operation on the right and identify its equivalent expression in simplest form from the left.

Review Lesson 5-6: Find all the zeros of each function on the right. Match the zeros on the left with the function(s) to which they belong. Some zeros may not be needed.

Review Lesson 7-4: Write the logarithmic expression as a single logarithm.

Review Lesson 7-4: Write the logarithmic expression as a single logarithm.

Vocabulary Review: Identify the base and exponent from each expression. Not all items from the left column will be used.

Vocabulary Review: Which expression is read "five to the third power"?

Use Your Vocabulary: Match each equation on the left with the operation(s) needed to isolate the variable on the right.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Review Lesson 6-6: Let f(x) = 3x and g(x) = x² - 1. Perform each function operation on the right and identify its equivalent expression in simplest form from the left.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.
For a refresher on the Cornell note-taking system, click here.

Review Lesson 6-6: Let f(x) = 3x and g(x) = x² - 1. Perform each function operation on the right and identify its equivalent expression in simplest form from the left.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.
For a refresher on the Cornell note-taking system, click here.