Simplify: $$\text{log}_5(3) + \text{log}_5(r) - \text{log}_5(w)$$

$$\text{log}_5igg(\frac{3r}{w}igg)$$

What is the product property of logarithms?

$$\text{log}_b(mn) = \text{log}_b(m) + \text{log}_b(n)$$ .

What is the quotient property of logarithms?

$$\text{log}_bigg(\frac{m}{n}igg) = \text{log}_b(m) - \text{log}_b(n)$$ .

What is the power property of logarithms?

$$\text{log}_b(m^p) = p \times \text{log}_b(m)$$ .

What is the value of $$\text{log}_b(b)$$ ?

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

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

0, because any number raised to the power of 0 is 1.

What is the natural logarithm?

The natural logarithm, denoted as $$\text{ln}(x)$$ , is the logarithm to the base e, where e is approximately 2.718.

Evaluate $$\text{ln}(e^5)$$ .

5, because the natural logarithm and the exponential function are inverses.

Exponent/Logarithm Review to start semester 2 Flashcards

Student preview

16 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Back

x

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Define a logarithm.

Back

A logarithm is the inverse operation to exponentiation, answering the question: to what exponent must a base be raised to produce a given number.

7.

FLASHCARD QUESTION

Front

What is the change of base formula 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

7 questions

Places

Flashcard

•

KG - University

10 questions

Fire Extinguishers and Fire Classes

Flashcard

•

12th Grade

15 questions

Flashcard - Unit Conversion and Practical Use

Flashcard

•

KG - University

10 questions

Evolve 2 Unit - 8 Flashcard - 1

Flashcard

•

University

16 questions

Hand Rules

Flashcard

•

12th Grade

14 questions

Used To

Flashcard

•

University

15 questions

Earth's Crusty Forces 11.1 :)

Flashcard

•

11th Grade - 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

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

20 questions

5.1 Characteristics of Exponential Functions Lesson Check

Quiz

•

9th - 12th Grade