Algebra 2 7-4 Complete Lesson: Properties of Logarithms
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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.
Solve It! Solution and Explanation
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Question 1
1.
Problem 1 Got It?
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Question 2
2.
Problem 1 Got It?
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Question 3
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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.
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Question 4
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Problem 2 Got It?
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Question 5
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Problem 3 Got It?
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Question 6
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Problem 3 Got It?
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Question 7
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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.
Substance A
Substance B
log (2)
log (3)
log (4)
log (0.5)
Which substance has the greater pH level?
What is the greater pH level minus the lesser pH level?
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Question 8
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Question 9
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Question 10
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Question 11
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Question 12
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Question 13
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Vocabulary: State which property or properties need to be used to write the expression as a single logarithm.
Select all that apply.
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Question 14
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Vocabulary: State which property or properties need to be used to write the expression as a single logarithm.
Select all that apply.
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Question 15
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Reasoning: If log x = 5, what is the value of 1/x?
Enter only an exact decimal in this format, with a 0 placeholder in the ones place: 0.083
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Question 16
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Open-Ended: Write the expression as a sum or difference of two logarithms. Simplify if possible.
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Question 17
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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.
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Question 18
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Review Lesson 6-5: Solve. Check for extraneous solutions.
Select all that apply.
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Question 19
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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.
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Question 20
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Review Lesson 7-3: Evaluate each logarithm. Not all answers in the left column will be used.
1/4
1/3
1/2
2
3
4
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Question 21
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Vocabulary Review: Classify each expression on the left.
Logarithms
Not logarithms
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Question 22
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Vocabulary Review: Classify each statement on the left.
If
If
If
True
False
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Question 23
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Use Your Vocabulary: Identify the slope formula.
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Question 24
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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.
