Solving Exponential Equations

Question 1

Solve 4^x + 5 = 4096. What is the exact value of x?

Accepted Answer

1

Answer

6

Answer

11

Answer

4096

Question 2

Solve 7^x = 17. To three decimal places, what is x?

Accepted Answer

1.456

Answer

0.687

Answer

2.429

Answer

1.230

Question 3

To solve 13^x = 17, what is the efficient first step?

Accepted Answer

take the natural logarithm of both sides

Answer

write 17 as a power of 13

Answer

divide both sides by 13

Answer

subtract 13 from both sides

Question 4

Solve 11^x = 17. To three decimal places, what is x?

Accepted Answer

1.182

Answer

0.846

Answer

1.545

Answer

1.230

Question 5

Solve e^3x = 7. What is the exact value of x?

Accepted Answer

(7)/3

Answer

(7) - 3

Answer

3(7)

Answer

(2.33333)

Question 6

Solve 2^x + 4 = 1024. What is the exact value of x?

Accepted Answer

6

Answer

10

Answer

14

Answer

1024

Question 7

Solve 27^x = 9. What is the exact value of x?

Accepted Answer

2/3

Answer

2

Answer

3/2

Answer

1/3

Question 8

Solve 8^x = 32. What is the exact value of x?

Accepted Answer

5/3

Answer

5

Answer

3/5

Answer

1/3

Question 9

Solve 3^x + 3 = 177147. What is the exact value of x?

Accepted Answer

8

Answer

11

Answer

14

Answer

177147

Question 10

Solve 5^x + 1 = 78125. What is the exact value of x?

Accepted Answer

6

Answer

7

Answer

8

Answer

78125

Question 11

Solve e^5x = 15. What is the exact value of x?

Accepted Answer

(15)/5

Answer

(15) - 5

Answer

5(15)

Answer

(3)

Question 12

To solve 5^x = 40, what is the efficient first step?

Accepted Answer

take the natural logarithm of both sides

Answer

write 40 as a power of 5

Answer

divide both sides by 5

Answer

subtract 5 from both sides

Question 13

Solve e^5x = 50. What is the exact value of x?

Accepted Answer

(50)/5

Answer

(50) - 5

Answer

5(50)

Answer

(10)

Question 14

Solve 2^x + 2 = 4096. What is the exact value of x?

Accepted Answer

10

Answer

12

Answer

14

Answer

4096

Question 15

To solve 3^x = 20, what is the efficient first step?

Accepted Answer

take the natural logarithm of both sides

Answer

write 20 as a power of 3

Answer

divide both sides by 3

Answer

subtract 3 from both sides

Question 16

Solve 4^x + 4 = 16384. What is the exact value of x?

Accepted Answer

3

Answer

7

Answer

11

Answer

16384

Question 17

Solve 3^x + 1 = 243. What is the exact value of x?

Accepted Answer

4

Answer

5

Answer

6

Answer

243

Question 18

Solve 16^x = 4. What is the exact value of x?

Accepted Answer

1/2

Answer

2

Answer

1/4

Answer

2/5

Question 19

Solve 4^x = 32. What is the exact value of x?

Accepted Answer

5/2

Answer

5

Answer

2/5

Answer

1/2

Question 20

Solve 25^x = 5. What is the exact value of x?

Accepted Answer

1/2

Answer

1

Answer

2

Answer

1/3

Question 21

Solve 25^x = 3125. What is the exact value of x?

Accepted Answer

5/2

Answer

5

Answer

2/5

Answer

1/2

Question 22

Solve 3^x = 55. To three decimal places, what is x?

Accepted Answer

3.648

Answer

0.274

Answer

18.333

Answer

1.740

Question 23

Solve 5^x + 5 = 78125. What is the exact value of x?

Accepted Answer

2

Answer

7

Answer

12

Answer

78125

Question 24

Solve 3^x = 90. To three decimal places, what is x?

Accepted Answer

4.096

Answer

0.244

Answer

30.000

Answer

1.954

Question 25

Solve e^3x = 19. What is the exact value of x?

Accepted Answer

(19)/3

Answer

(19) - 3

Answer

3(19)

Answer

(6.33333)

Question 26

Solve 8^x = 4. What is the exact value of x?

Accepted Answer

2/3

Answer

2

Answer

3/2

Answer

1/3

Question 27

Solve 5^x = 23. To three decimal places, what is x?

Accepted Answer

1.948

Answer

0.513

Answer

4.600

Answer

1.362

Question 28

Solve e^4x = 19. What is the exact value of x?

Accepted Answer

(19)/4

Answer

(19) - 4

Answer

4(19)

Answer

(4.75)

Question 29

Solve 7^x + 3 = 117649. What is the exact value of x?

Accepted Answer

3

Answer

6

Answer

9

Answer

117649

Question 30

Solve 5^x + 2 = 15625. What is the exact value of x?

Accepted Answer

4

Answer

6

Answer

8

Answer

15625

Question 31

Solve 9^x = 27. What is the exact value of x?

Accepted Answer

3/2

Answer

3

Answer

2/3

Answer

1/2

Question 32

Solve e^4x = 23. What is the exact value of x?

Accepted Answer

(23)/4

Answer

(23) - 4

Answer

4(23)

Answer

(5.75)

Question 33

Solve 3^x + 4 = 177147. What is the exact value of x?

Accepted Answer

7

Answer

11

Answer

15

Answer

177147

Question 34

Solve 4^x + 1 = 16. What is the exact value of x?

Accepted Answer

1

Answer

2

Answer

3

Answer

16

Question 35

Solve 81^x = 3. What is the exact value of x?

Accepted Answer

1/4

Answer

1

Answer

4

Answer

1/5

Question 36

Solve e^3x = 11. What is the exact value of x?

Accepted Answer

(11)/3

Answer

(11) - 3

Answer

3(11)

Answer

(3.66667)

Question 37

Solve 7^x = 23. To three decimal places, what is x?

Accepted Answer

1.611

Answer

0.621

Answer

3.286

Answer

1.362

Question 38

Solve 343^x = 2401. What is the exact value of x?

Accepted Answer

4/3

Answer

4

Answer

3/4

Answer

1/3

Question 39

To solve 6^x = 17, what is the efficient first step?

Accepted Answer

take the natural logarithm of both sides

Answer

write 17 as a power of 6

Answer

divide both sides by 6

Answer

subtract 6 from both sides

Question 40

Solve e^3x = 30. What is the exact value of x?

Accepted Answer

(30)/3

Answer

(30) - 3

Answer

3(30)

Answer

(10)

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Solving Exponential Equations

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Top Corner

Solving Exponential Equations

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

More like this

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner