Algebra 2 7-4 Complete Lesson: Properties of Logarithms

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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.

Solve It! Solution and Explanation

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Algebra 2 7-4 Complete Lesson: Properties of Logarithms

Solve It! Solution and Explanation

Algebra 2 7-4 Complete Lesson: Properties of Logarithms

Solve It! Solution and Explanation

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It? It may be helpful to think of this problem as more of a "Which expanded expression below is equivalent to the expression here?" item.

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It? Reasoning: Suppose the hydrogen ion concentration for Substance A is twice that for Substance B. Respond to the items on the right using the items from the left.

Vocabulary: State which property or properties need to be used to write the expression as a single logarithm.Select all that apply.

Vocabulary: State which property or properties need to be used to write the expression as a single logarithm.Select all that apply.

Reasoning: If log x = 5, what is the value of 1/x?

Open-Ended: Write the expression as a sum or difference of two logarithms. Simplify if possible.

Review Lesson 7-3: Identify the correct logarithmic form from the left of each equation in exponential form on the right. Not all logarithmic form equations will be used.

Review Lesson 6-5: Solve. Check for extraneous solutions. Select all that apply.

Review Lesson 5-5: Write a polynomial funciton f(x) with rational coefficients and the given roots. Write your function in standard polynomial form (with terms in descending order of their powers of x) and use function notation.

Review Lesson 7-3: Evaluate each logarithm. Not all answers in the left column will be used.

Vocabulary Review: Classify each expression on the left.

Vocabulary Review: Classify each statement on the left.

Use Your Vocabulary: Identify the slope formula.

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

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It? It may be helpful to think of this problem as more of a "Which expanded expression below is equivalent to the expression here?" item.

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It? Reasoning: Suppose the hydrogen ion concentration for Substance A is twice that for Substance B. Respond to the items on the right using the items from the left.

Vocabulary: State which property or properties need to be used to write the expression as a single logarithm.Select all that apply.

Vocabulary: State which property or properties need to be used to write the expression as a single logarithm.Select all that apply.

Reasoning: If log x = 5, what is the value of 1/x?

Open-Ended: Write the expression as a sum or difference of two logarithms. Simplify if possible.

Review Lesson 7-3: Identify the correct logarithmic form from the left of each equation in exponential form on the right. Not all logarithmic form equations will be used.

Review Lesson 6-5: Solve. Check for extraneous solutions. Select all that apply.

Review Lesson 5-5: Write a polynomial funciton f(x) with rational coefficients and the given roots. Write your function in standard polynomial form (with terms in descending order of their powers of x) and use function notation.

Review Lesson 7-3: Evaluate each logarithm. Not all answers in the left column will be used.

Vocabulary Review: Classify each expression on the left.

Vocabulary Review: Classify each statement on the left.

Use Your Vocabulary: Identify the slope formula.

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

Vocabulary: State which property or properties need to be used to write the expression as a single logarithm.
Select all that apply.

Vocabulary: State which property or properties need to be used to write the expression as a single logarithm.
Select all that apply.

Review Lesson 6-5: Solve. Check for extraneous solutions.
Select all that apply.

Review Lesson 5-5: Write a polynomial funciton f(x) with rational coefficients and the given roots.
Write your function in standard polynomial form (with terms in descending order of their powers of x) and use function notation.

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.

Vocabulary: State which property or properties need to be used to write the expression as a single logarithm.
Select all that apply.

Vocabulary: State which property or properties need to be used to write the expression as a single logarithm.
Select all that apply.

Review Lesson 6-5: Solve. Check for extraneous solutions.
Select all that apply.

Review Lesson 5-5: Write a polynomial funciton f(x) with rational coefficients and the given roots.
Write your function in standard polynomial form (with terms in descending order of their powers of x) and use function notation.

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.