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

Last updated almost 4 years ago
25 questions
Note from the author:
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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Solve It! You're a winner on a TV game show. Which prize is the better deal? Explain.

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Problem 1 Got It?

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

Problem 1 is provided here to help you respond to the Problem 2 Got It? item that follows.

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

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Problem 3 Got It?

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Problem 3 Got It?

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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?

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Problem 5 Got It?

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Problem 6 Got It?

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What is the solution of the equation?

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

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Review Lesson 7-4: Expand the logarithm.

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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.

  • x2 + 3x - 1
  • 9x2 - 1
  • 3x2 - 3
  • x2 - 3x - 1
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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.

  • -4
  • -3
  • -2
  • -1
  • 0
  • 1
  • 2
  • 3
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Review Lesson 7-4: Write the logarithmic expression as a single logarithm.

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

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

  • 3
  • 7
  • 2
  • 2x
  • x
  • (x + y)
  • Base of 37
  • Exponent of 37
  • Base of 2x2
  • Exponent of 2x2
  • Base of (x + y)2
  • Exponent of (x + y)2
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Vocabulary Review: Which expression is read "five to the third power"?

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

  • Multiply both sides by 3. Then add 5 to both sides.
  • Divide both sides by 3.
  • Subtract 9 from each side, then divide both sides by 4.
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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.

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Reflection: Math Success