Exponential and Logarithmic Form

Question 1

Which equation is 4^2 = 16 written in logarithmic form?

Accepted Answer

_4(16) = 2

Answer

_2(16) = 4

Answer

_16(4) = 2

Answer

_4(2) = 16

Question 2

Which equation is 4^3 = 64 written in logarithmic form?

Accepted Answer

_4(64) = 3

Answer

_3(64) = 4

Answer

_64(4) = 3

Answer

_4(3) = 64

Question 3

Which equation is 5^4 = 625 written in logarithmic form?

Accepted Answer

_5(625) = 4

Answer

_4(625) = 5

Answer

_625(5) = 4

Answer

_5(4) = 625

Question 4

Which equation is log_2(32) = 5 written in exponential form?

Accepted Answer

2^5 = 32

Answer

5^2 = 32

Answer

32^2 = 5

Answer

2^32 = 5

Question 5

Which equation is log_2(16) = 4 written in exponential form?

Accepted Answer

2^4 = 16

Answer

4^2 = 16

Answer

16^2 = 4

Answer

2^16 = 4

Question 6

Which equation is 8^4 = 4096 written in logarithmic form?

Accepted Answer

_8(4096) = 4

Answer

_4(4096) = 8

Answer

_4096(8) = 4

Answer

_8(4) = 4096

Question 7

For what base b is log_b(64) = 3 a true statement?

Accepted Answer

b = 4

Answer

b = 21.33333

Answer

b = 61

Answer

b = 192

Question 8

Which equation is log_6(1296) = 4 written in exponential form?

Accepted Answer

6^4 = 1296

Answer

4^6 = 1296

Answer

1296^6 = 4

Answer

6^1296 = 4

Question 9

Which equation is 2^5 = 32 written in logarithmic form?

Accepted Answer

_2(32) = 5

Answer

_5(32) = 2

Answer

_32(2) = 5

Answer

_2(5) = 32

Question 10

A student rewrites 6^2 = 36 as log_2(36) = 6. Which conversion is correct?

Accepted Answer

_6(36) = 2

Answer

_2(6) = 36

Answer

_36(6) = 2

Answer

_36(2) = 6

Question 11

Which equation is ln(x) = 8 written in exponential form?

Accepted Answer

x = e^8

Answer

x = 8^e

Answer

e = x^8

Answer

x = 10^8

Question 12

Which equation is ln(x) = 11 written in exponential form?

Accepted Answer

x = e^11

Answer

x = 11^e

Answer

e = x^11

Answer

x = 10^11

Question 13

Which equation is 2^3 = 8 written in logarithmic form?

Accepted Answer

_2(8) = 3

Answer

_3(8) = 2

Answer

_8(2) = 3

Answer

_2(3) = 8

Question 14

Which equation is log_8(64) = 2 written in exponential form?

Accepted Answer

8^2 = 64

Answer

2^8 = 64

Answer

64^8 = 2

Answer

8^64 = 2

Question 15

Which equation is log(x) = 6 written in exponential form?

Accepted Answer

x = 10^6

Answer

x = 6^10

Answer

10 = x^6

Answer

x = e^6

Question 16

For what base b is log_b(49) = 2 a true statement?

Accepted Answer

b = 7

Answer

b = 24.5

Answer

b = 47

Answer

b = 98

Question 17

Which equation is log_7(49) = 2 written in exponential form?

Accepted Answer

7^2 = 49

Answer

2^7 = 49

Answer

49^7 = 2

Answer

7^49 = 2

Question 18

A student rewrites 8^4 = 4096 as log_4(4096) = 8. Which conversion is correct?

Accepted Answer

_8(4096) = 4

Answer

_4(8) = 4096

Answer

_4096(8) = 4

Answer

_4096(4) = 8

Question 19

Which equation is 8^2 = 64 written in logarithmic form?

Accepted Answer

_8(64) = 2

Answer

_2(64) = 8

Answer

_64(8) = 2

Answer

_8(2) = 64

Question 20

Which equation is log_8(512) = 3 written in exponential form?

Accepted Answer

8^3 = 512

Answer

3^8 = 512

Answer

512^8 = 3

Answer

8^512 = 3

Question 21

Which equation is log_4(4096) = 6 written in exponential form?

Accepted Answer

4^6 = 4096

Answer

6^4 = 4096

Answer

4096^4 = 6

Answer

4^4096 = 6

Question 22

Which equation is ln(x) = 6 written in exponential form?

Accepted Answer

x = e^6

Answer

x = 6^e

Answer

e = x^6

Answer

x = 10^6

Question 23

For what base b is log_b(16) = 2 a true statement?

Accepted Answer

b = 4

Answer

b = 8

Answer

b = 14

Answer

b = 32

Question 24

Which equation is log(x) = 11 written in exponential form?

Accepted Answer

x = 10^11

Answer

x = 11^10

Answer

10 = x^11

Answer

x = e^11

Question 25

Which equation is 7^5 = 16807 written in logarithmic form?

Accepted Answer

_7(16807) = 5

Answer

_5(16807) = 7

Answer

_16807(7) = 5

Answer

_7(5) = 16807

Question 26

Which equation is log_10(10000) = 4 written in exponential form?

Accepted Answer

10^4 = 10000

Answer

4^10 = 10000

Answer

10000^10 = 4

Answer

10^10000 = 4

Question 27

Which equation is 7^2 = 49 written in logarithmic form?

Accepted Answer

_7(49) = 2

Answer

_2(49) = 7

Answer

_49(7) = 2

Answer

_7(2) = 49

Question 28

Which equation is log_3(9) = 2 written in exponential form?

Accepted Answer

3^2 = 9

Answer

2^3 = 9

Answer

9^3 = 2

Answer

3^9 = 2

Question 29

Which equation is log_3(243) = 5 written in exponential form?

Accepted Answer

3^5 = 243

Answer

5^3 = 243

Answer

243^3 = 5

Answer

3^243 = 5

Question 30

A student rewrites 3^4 = 81 as log_4(81) = 3. Which conversion is correct?

Accepted Answer

_3(81) = 4

Answer

_4(3) = 81

Answer

_81(3) = 4

Answer

_81(4) = 3

Question 31

Which equation is ln(x) = 9 written in exponential form?

Accepted Answer

x = e^9

Answer

x = 9^e

Answer

e = x^9

Answer

x = 10^9

Question 32

A student rewrites 6^4 = 1296 as log_4(1296) = 6. Which conversion is correct?

Accepted Answer

_6(1296) = 4

Answer

_4(6) = 1296

Answer

_1296(6) = 4

Answer

_1296(4) = 6

Question 33

Which equation is 6^3 = 216 written in logarithmic form?

Accepted Answer

_6(216) = 3

Answer

_3(216) = 6

Answer

_216(6) = 3

Answer

_6(3) = 216

Question 34

Which equation is 2^6 = 64 written in logarithmic form?

Accepted Answer

_2(64) = 6

Answer

_6(64) = 2

Answer

_64(2) = 6

Answer

_2(6) = 64

Question 35

Which equation is log_5(15625) = 6 written in exponential form?

Accepted Answer

5^6 = 15625

Answer

6^5 = 15625

Answer

15625^5 = 6

Answer

5^15625 = 6

Question 36

Which equation is log(x) = 8 written in exponential form?

Accepted Answer

x = 10^8

Answer

x = 8^10

Answer

10 = x^8

Answer

x = e^8

Question 37

Which equation is ln(x) = 3 written in exponential form?

Accepted Answer

x = e^3

Answer

x = 3^e

Answer

e = x^3

Answer

x = 10^3

Question 38

For what base b is log_b(343) = 3 a true statement?

Accepted Answer

b = 7

Answer

b = 114.33333

Answer

b = 340

Answer

b = 1029

Question 39

Which equation is 2^4 = 16 written in logarithmic form?

Accepted Answer

_2(16) = 4

Answer

_4(16) = 2

Answer

_16(2) = 4

Answer

_2(4) = 16

Question 40

Which equation is log_3(81) = 4 written in exponential form?

Accepted Answer

3^4 = 81

Answer

4^3 = 81

Answer

81^3 = 4

Answer

3^81 = 4

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Exponential and Logarithmic Form

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Top Corner

Exponential and Logarithmic Form

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