Algebra 2 7-4 Guided Practice: Properties of Logarithms

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Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! Solution and Explanation

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Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Take a moment to add the properties of logarithms to your notes.

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Take Note: Use the math input keyboard to write the Product Property of Logarithms in terms of m, n, and b, where b ≠ 1.

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Take Note: Use the math input keyboard to write the Quotient Property of Logarithms in terms of m, n, and b, where b ≠ 1.

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Problem 1 Got It?

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Problem 1 Got It?

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: Use the properties of logarithms to match equivalent expressions below.

Draggable item		Corresponding Item
\log_b{(6)}		\log_b{(2)}+\log_b{(3)}
\log_b{(\frac{3}{2})}		\log_b{(3)}-\log_b{(2)}
\log_b{(2^{3})}		3\log_b{(2)}

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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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Problem 2 Got It?

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Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Take a moment to add the Change of Base Formula for logarithms to your notes.

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Take Note: Use the math input keyboard to write the Change of Base Formula for logarithms in terms of m, b, and c, where b ≠ 1 and c ≠ 1.

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Take Note: Use the Change of Base Formula for logarithms to rewrite the rational expression below as a single logarithm (even if the expression can be simplified to a whole number).

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Problem 3 Got It?

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Problem 3 Got It?

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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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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Algebra 2 7-4 Guided Practice: Properties of Logarithms

Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! Solution and Explanation

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Use the math input keyboard to write the Product Property of Logarithms in terms of m, n, and b, where b ≠ 1.

Take Note: Use the math input keyboard to write the Quotient Property of Logarithms in terms of m, n, and b, where b ≠ 1.

Problem 1 Got It?

Problem 1 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Use the properties of logarithms to match equivalent expressions below.

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?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Use the math input keyboard to write the Change of Base Formula for logarithms in terms of m, b, and c, where b ≠ 1 and c ≠ 1.

Take Note: Use the Change of Base Formula for logarithms to rewrite the rational expression below as a single logarithm (even if the expression can be simplified to a whole number).

Problem 3 Got It?

Problem 3 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

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.

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! Solution and Explanation

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Use the math input keyboard to write the Product Property of Logarithms in terms of m, n, and b, where b ≠ 1.

Take Note: Use the math input keyboard to write the Quotient Property of Logarithms in terms of m, n, and b, where b ≠ 1.

Take Note: Use the math input keyboard to write the Power Property of Logarithms in terms of m, n, and b, where b ≠ 1.

Problem 1 Got It?

Problem 1 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Use the properties of logarithms to match equivalent expressions below.

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?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Use the math input keyboard to write the Change of Base Formula for logarithms in terms of m, b, and c, where b ≠ 1 and c ≠ 1.

Take Note: Use the Change of Base Formula for logarithms to rewrite the rational expression below as a single logarithm (even if the expression can be simplified to a whole number).

Problem 3 Got It?

Problem 3 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

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.

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: Use the math input keyboard to write the Power Property of Logarithms in terms of m, n, and b, where b ≠ 1.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?