What is the power rule for logarithms?

The power rule states that $$\text{log}_b(x^k) = k \times \text{log}_b(x)$$ .

How do you solve the equation $$\text{log}_2(x + 3) = 4$$ ?

To solve $$\text{log}_2(x + 3) = 4$$ , convert to exponential form: $$x + 3 = 2^4$$ , which simplifies to $$x + 3 = 16$$ , so $$x = 13$$ .

What is the value of $$\text{log}_e(e)$$ ?

The value of $$\text{log}_e(e)$$ is 1, because any logarithm of its base equals 1.

What is the value of $$\text{ln}(1)$$ ?

The value of $$\text{ln}(1)$$ is 0, because $$e^0 = 1$$ .

How do you solve for $$y$$ in the equation $$\text{ln}(y + 3) = w$$ ?

To solve for $$y$$ , exponentiate both sides: $$y + 3 = e^w$$ , then $$y = e^w - 3$$ .

What is the base of the common logarithm?

The base of the common logarithm is 10, denoted as $$\text{log}(x)$$ or $$\text{log}_{10}(x)$$ .

What is the relationship between $$\text{log}_b(x)$$ and $$\text{log}_{1/b}(x)$$ ?

The relationship is $$\text{log}_{1/b}(x) = -\text{log}_b(x)$$ .

What is the value of $$\text{log}_3(9)$$ ?

The value of $$\text{log}_3(9)$$ is 2, because $$3^2 = 9$$ .

3.4-3.5 Recap (Solving equations with Logs) Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the definition of a logarithm?

Back

2.

FLASHCARD QUESTION

Front

What is the relationship between logarithms and exponents?

Back

3.

FLASHCARD QUESTION

Front

What is the natural logarithm?

Back

4.

FLASHCARD QUESTION

Front

How do you convert from logarithmic form to exponential form?

Back

5.

FLASHCARD QUESTION

Front

What is the change of base formula for logarithms?

Back

6.

FLASHCARD QUESTION

Front

What is the product rule for logarithms?

Back

7.

FLASHCARD QUESTION

Front

What is the quotient rule for logarithms?

Back

Access all questions and much more by creating a free account

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

10 questions

Essential Statistics Concepts

Flashcard

•

12th Grade

10 questions

Herramientas y Procesos en el Diseño de Bases de Datos

Flashcard

•

11th Grade

10 questions

R2.3 How Far? Le Chatelier's Principle

Flashcard

•

12th Grade

11 questions

Memoriter_1

Flashcard

•

12th Grade

15 questions

Anatomy Review

Flashcard

•

12th Grade

15 questions

Sleep and Dreams - AP Psychology

Flashcard

•

12th Grade - University

10 questions

Be going to vs Present Continuous

Flashcard

•

University

Popular Resources on Wayground

8 questions

Spartan Way - Classroom Responsible

Quiz

•

9th - 12th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

14 questions

Boundaries & Healthy Relationships

Lesson

•

6th - 8th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

3 questions

Integrity and Your Health

Lesson

•

6th - 8th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

9 questions

FOREST Perception

Lesson

•

KG

20 questions

Main Idea and Details

Quiz

•

5th Grade

Discover more resources for Mathematics

25 questions

Logos

Quiz

•

12th Grade

14 questions

Making Inferences From Samples

Quiz

•

7th - 12th Grade

16 questions

Properties of Quadrilaterals

Quiz

•

11th Grade

23 questions

8th grade math unit 5B Perfect Squares and Cubes

Quiz

•

6th - 12th Grade

15 questions

Exponential Growth & Decay Practice

Quiz

•

12th Grade

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

10 questions

Quadratic Regression Practice

Quiz

•

7th - 12th Grade

20 questions

Triangle Congruence Statements Quiz

Quiz

•

9th - 12th Grade