Algebra 2 7-4 Guided Practice: Properties of Logarithms

Last updated over 2 years ago
19 questions
3

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

Solve It! Solution and Explanation

3

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.
10

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

10

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

10

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

10

Problem 1 Got It?

10

Problem 1 Got It?

3

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

9

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

Draggable itemCorresponding 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)}
10

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.

10

Problem 2 Got It?

3

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.
10

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.

10

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).

10

Problem 3 Got It?

10

Problem 3 Got It?

3

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

12

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?
10

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