What is the solution to the equation $$2^{x+1} = 32$$ ?

Convert 32 to a power of 2: $$2^{x+1} = 2^5$$ , so $$x + 1 = 5$$ , thus $$x = 4$$ .

What is the logarithmic form of the equation $$b^y = x$$ ?

The logarithmic form is $$y = \log_b(x)$$ .

How do you solve $$3^{2x} = 9$$ ?

Rewrite 9 as $$3^2$$ , so $$2x = 2$$ , giving $$x = 1$$ .

What is the solution to $$2^{x-1} = 8$$ ?

Rewrite 8 as $$2^3$$ , so $$x - 1 = 3$$ , thus $$x = 4$$ .

What is the value of $$x$$ in the equation $$10^x = 0.1$$ ?

Rewrite 0.1 as $$10^{-1}$$ , so $$x = -1$$ .

Solve Exponential Equations Flashcards: 15 Cards (9th Grade)

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an exponential equation?

Back

An exponential equation is an equation in which a variable appears in the exponent. For example, $2^x = 8$ .

2.

FLASHCARD QUESTION

Front

How do you solve the equation $2^x = 8$ ?

Back

Convert 8 to a power of 2: $2^x = 2^3$ . Therefore, $x = 3$ .

3.

FLASHCARD QUESTION

Front

What is the base in the exponential equation $3^{4x + 2} = 3^3$ ?

Back

The base is 3.

4.

FLASHCARD QUESTION

Front

If $a^x = a^y$ , what can we conclude about x and y?

Back

We can conclude that $x = y$ , provided that $a > 0$ and $a \neq 1$ .

5.

FLASHCARD QUESTION

Front

How do you isolate the exponential part in the equation $2(3^k) = 162$ ?

Back

Divide both sides by 2 to get $3^k = 81$ .

6.

FLASHCARD QUESTION

Front

What is the solution to the equation $4^x = 4^5$ ?

Back

Since the bases are the same, $x = 5$ .

7.

FLASHCARD QUESTION

Front

How do you solve $3^3 = 3^{4x + 2}$ ?

Back

Set the exponents equal: $3 = 4x + 2$ , then solve for x to get $x = \frac{1}{4}$ .

8.

FLASHCARD QUESTION

Front

What is the first step in solving $2^x = 16$ ?

Back

Convert 16 to a power of 2: $2^x = 2^4$ .

9.

FLASHCARD QUESTION

Front

What is the value of $x$ in the equation $5^x = 1$ ?

Back

Since $5^0 = 1$ , we have $x = 0$ .

10.

FLASHCARD QUESTION

Front

How do you express $27$ as a power of $3$ ?

Back

$27 = 3^3$ .

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 Microsoft

or continue with

Facebook

Apple

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?

Similar Resources on Wayground

10 questions

Secondary storage

Flashcard

•

9th - 11th Grade

16 questions

Compounds some, any, no, every

Flashcard

•

8th - 9th Grade

10 questions

Untitled Flashcards

Flashcard

•

9th Grade

12 questions

Organic 2 Exam 4 Review

Flashcard

•

KG

11 questions

3D Design Vocabulary Flashcard

Flashcard

•

10th Grade

15 questions

Functions

Flashcard

•

8th Grade

12 questions

WORD FORMATION - NOUN/VERB/ADJECTIVE

Flashcard

•

10th Grade

13 questions

Regular and Irregular Verbs

Flashcard

•

10th Grade

Popular Resources on Wayground

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

20 questions

Brand Labels

Quiz

•

5th - 12th Grade

Discover more resources for Mathematics

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

Exponent Rules

Quiz

•

8th - 9th Grade

12 questions

Absolute Value Equations

Quiz

•

9th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

15 questions

Linear vs Nonlinear Functions

Quiz

•

8th - 9th Grade

20 questions

Rigid Transformations

Quiz

•

9th Grade

10 questions

Solving Absolute Value Equations

Quiz

•

9th Grade

10 questions

1.4 Distributive Property and Combining Like Terms Alg 1 V1

Quiz

•

9th Grade