Exploring Logarithmic and Exponential Functions

Exploring Logarithmic and Exponential Functions

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

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

Standards-aligned

Created by

Ethan Morris

FREE Resource

Standards-aligned

CCSS.HSF.LE.A.4
,
CCSS.HSF.BF.B.5
This video tutorial covers solving logarithmic and exponential functions, starting with basic rules for solving exponential equations by expressing each side as a power of the same base. It progresses to using logarithms to solve exponential equations and then addresses solving logarithmic equations by converting them to exponential form. The tutorial concludes with solving word problems involving exponential growth models, providing practical examples and step-by-step solutions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What can be done to make the bases of 4 and 2 the same in an equation?

Cube the base 4

Square the base 4

Square the base 2

None of the above

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical operation is used to make the bases the same in an equation?

Subtraction

Addition

Exponentiation

Multiplication

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result when the bases 64 and 4 are expressed with the same base?

64 cubed equals 4

4 squared equals 64

4 cubed equals 64

64 squared equals 4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct transformation for the base 64 to match base 4?

4 to the power of 3

64 to the power of 1/3

64 to the power of 3

4 to the power of 1/3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you isolate an exponential expression in an equation?

Both A and B

None of the above

Multiply or divide by the coefficient

Add or subtract the constant

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What logarithmic operation is used to bring down the exponent in the equation 2 to the x equals 7?

Log base 7

Natural log

Log base 2

Log base 10

Tags

CCSS.HSF.BF.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inverse operation used to solve logarithmic equations?

Dividing by the base

Taking the exponent

Taking the square root

Multiplying by the base

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