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Laabri

Algebra 2 7-4 Guided Practice: Properties of Logarithms

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Last updated over 3 years ago
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Solve It! Solution and Explanation

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1.

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

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2.

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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Take Note: Use the math input keyboard to write the Power 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 itemarrow_right_altCorresponding Item

\log_b{(2^{3})}

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\log_b{(2)}+\log_b{(3)}

\log_b{(6)}

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\log_b{(3)}-\log_b{(2)}

\log_b{(\frac{3}{2})}

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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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12.

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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13.

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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🧠 Retrieval Practice:

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