Exploring Logarithms and Exponential Functions

Exploring Logarithms and Exponential Functions

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF.BF.B.5, HSF-BF.B.4A, HSF.LE.A.4

Standards-aligned

Created by

Lucas Foster

FREE Resource

Standards-aligned

CCSS.HSF.BF.B.5
,
CCSS.HSF-BF.B.4A
,
CCSS.HSF.LE.A.4
This video tutorial introduces logarithms and exponential functions, explaining their inverse relationship. It covers how to transform exponential functions into logarithmic form and vice versa, with examples. The tutorial also demonstrates evaluating logarithms by converting them into exponential form, using tools like Desmos for verification. Advanced examples are provided to deepen understanding.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inverse function of an exponential function?

Quadratic function

Logarithmic function

Linear function

Cubic function

Tags

CCSS.HSF-BF.B.4A

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the base represent in a logarithmic function?

The number that holds the exponent

The coefficient

The constant term

The exponent

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If log base 10 of 100 equals 2, what does 10 squared equal?

20

1000

100

10

Tags

CCSS.HSF.BF.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the expression log base 3 of 81 equals 4, what is the equivalent exponential form?

3 to the power of 81 equals 4

3 to the power of 4 equals 81

81 to the power of 3 equals 4

4 to the power of 3 equals 81

Tags

CCSS.HSF.BF.B.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you transform the logarithmic expression log base 2 of 128 equals 7 into an exponential form?

2 to the power of 7 equals 128

128 to the power of 2 equals 7

7 to the power of 2 equals 128

2 to the power of 128 equals 7

Tags

CCSS.HSF.BF.B.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of converting log base 5 of 125 equals 3 into exponential form?

3 to the power of 5 equals 125

5 to the power of 3 equals 125

5 to the power of 125 equals 3

125 to the power of 5 equals 3

Tags

CCSS.HSF.BF.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of y if 2 to the y equals 32?

4

5

6

7

Tags

CCSS.HSF.LE.A.4

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