Understanding Logarithmic Expressions

Understanding Logarithmic Expressions

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
HSF.BF.B.5

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.HSF.BF.B.5
The video tutorial explores whether two logarithmic expressions are equivalent: log base 2 of 4 cubed and the cube of log base 2 of 4. It begins by evaluating log base 2 of 4 cubed using the power property of logarithms, resulting in a value of 6. Then, it evaluates the cube of log base 2 of 4, which results in a value of 8. The tutorial concludes that the two expressions are not equivalent, as verified by calculations.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two expressions being compared in the video?

log base 2 of 4 cubed and the cube of log base 2 of 4

log base 3 of 4 cubed and the cube of log base 3 of 4

log base 2 of 8 cubed and the cube of log base 2 of 8

log base 4 of 2 cubed and the cube of log base 4 of 2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which property of logarithms is used to simplify log base 2 of 4 cubed?

Power property

Change of base property

Quotient property

Product property

Tags

CCSS.HSF.BF.B.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of log base 2 of 4?

2

4

1

3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of evaluating log base 2 of 4 cubed?

12

6

4

8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of the cube of log base 2 of 4?

4

6

8

10

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