A logarithm is the power to which a number must be raised to obtain another number. For example, if $$b^y = x$$ , then $$\text{log}_b(x) = y$$ .

What is the value of $$\text{log}_3(81)$$ ?

The value of $$\text{log}_3(81)$$ is 4, since $$3^4 = 81$$ .

How do you solve $$\text{log}(72) - \text{log}(9) = \text{log}(6x - 22)$$ ?

Combine the logs: $$\text{log}igg(\frac{72}{9}igg) = \text{log}(6x - 22)$$ , which simplifies to $$\text{log}(8) = \text{log}(6x - 22)$$ . Thus, $$6x - 22 = 8$$ , leading to $$x = 5$$ .

What is the solution to the equation $$2^x = 5^{x+1}$$ ?

The solution to the equation $$2^x = 5^{x+1}$$ is approximately $$-1.756$$ .

What is the exponential decay model?

The exponential decay model is represented by the function $$f(t) = a(1 - r)^t$$ , where $$a$$ is the initial amount, $$r$$ is the decay rate, and $$t$$ is time.

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

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

What is the definition of an exponential function?

An exponential function is a mathematical function of the form $$f(x) = a \times b^x$$ , where $$a$$ is a constant, $$b$$ is the base, and $$x$$ is the exponent.

What is the natural logarithm?

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

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 $$k$$ .

Logarithm and Exponential Equations Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a logarithm?

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

Herramientas y Procesos en el Diseño de Bases de Datos

Flashcard

•

11th Grade

10 questions

الوجهات السّياحيّة

Flashcard

•

7th Grade - University

10 questions

High Note 2. Unit 1. Test your vocabulary

Flashcard

•

10th Grade

10 questions

Essential Statistics Concepts

Flashcard

•

12th Grade

11 questions

Climate Change and Its Causes

Flashcard

•

KG

9 questions

Inequalities

Flashcard

•

9th Grade

10 questions

commas in a series

Flashcard

•

KG - University

15 questions

Function Flashcard

Flashcard

•

8th - 12th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

20 questions

Figurative Language Review

Quiz

•

6th Grade

Discover more resources for Mathematics

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

12 questions

Exponential Growth and Decay

Quiz

•

9th Grade

20 questions

Exponent Rules Review

Quiz

•

8th - 9th Grade

25 questions

Complementary and Supplementary Angles

Quiz

•

7th - 10th Grade

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

13 questions

Model Exponential Growth and Decay Scenarios

Quiz

•

9th - 12th Grade

15 questions

Combine Like Terms and Distributive Property

Quiz

•

8th - 9th Grade

27 questions

7.2.3 Quadrilateral Properties

Quiz

•

9th - 12th Grade