Applying the product property and then converting to exponential form to solve

Applying the product property and then converting to exponential form to solve

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains how to solve a logarithmic equation by using properties of logarithms to condense multiple logarithms into a single one. It then demonstrates converting the logarithmic equation into exponential form to solve for the variable D. The tutorial emphasizes the importance of understanding logarithm properties such as the product, quotient, and power rules.

Read more

5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation 3D plus log base three of 3 = 3?

Divide both sides by 3

Add 3 to both sides

Use the properties of logarithms to condense

Convert to exponential form

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the equation log base three of 3D = 3 be rewritten in exponential form?

3^3 = 3D

3D = 27

3D = 3^3

D^3 = 3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 3^3?

3

27

9

81

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to isolate D in the equation 27 = 3D?

Addition

Subtraction

Division

Multiplication

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which property of logarithms is NOT mentioned in the video?

Product property

Change of base property

Quotient property

Power property