Evaluate the logarithm: $$\text{log}_{2} 14 - \text{log}_{2} 7$$

The answer is $$\text{log}_{2} 2$$ , which is True.

Evaluate $$\text{log}_{4} 16$$ .

The answer is 2, since $$4^2 = 16$$ .

If $$\text{log}_{b} x = y$$ , what is the equivalent exponential form?

The equivalent exponential form is $$b^y = x$$ .

What is the change of base formula for logarithms?

The change of base formula states that $$\text{log}_{b} a = \frac{\text{log}_{k} a}{\text{log}_{k} b}$$ for any base k.

What is the value of $$\text{log}_{a} a$$ ?

The value is 1, because any number raised to the power of 1 is itself.

What does the graph of an exponential function look like?

The graph of an exponential function is a curve that increases rapidly and never touches the x-axis.

What is the relationship between logarithms and exponents?

Logarithms are the inverse operations of exponentiation.

Evaluate $$\text{log}_{10} 100$$ .

The answer is 2, since $$10^2 = 100$$ .

What is the domain of the function $$g(x) = \text{log}_a x$$ ?

The domain is all positive real numbers, x > 0.

What is the significance of the point (1, 0) on the graph of a logarithmic function?

It indicates that the logarithm of the base to the power of 0 is 1.

Chapter 12/13.2 Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the property of logarithms that states log_a(b) - log_a(c) = log_a(b/c)?

Back

This property allows us to simplify the subtraction of two logarithms into the logarithm of a quotient.

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

The value is 0, because any logarithm of 1 is 0.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

The graph always contains the point (1, 0).

6.

FLASHCARD QUESTION

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a given number.

7.

FLASHCARD QUESTION

Front

Back

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

15 questions

Curriculum Approaches Flashcards

Flashcard

•

University

15 questions

Relative Clauses

Flashcard

•

12th Grade

10 questions

Technology vocabulary

Flashcard

•

University

10 questions

THE PARAGRAPH

Flashcard

•

University

7 questions

Glossary IRL to revise

Flashcard

•

University

7 questions

International Yoga Day Quiz

Flashcard

•

KG - University

15 questions

Complete Ielts 5-6.5 - Unit 6 (Listening & Reading_Vocab))

Flashcard

•

University

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

11 questions

How well do you know your Christmas Characters?

Lesson

•

3rd Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

20 questions

How the Grinch Stole Christmas

Quiz

•

5th Grade

Discover more resources for Mathematics

12 questions

PC: Lesson 5.3 Check

Quiz

•

11th Grade - University

10 questions

PC: Unit 5 Quiz Review

Quiz

•

11th Grade - University