Live Education Quiz

1

Which logarithm is undefined?

A

log₂(0)

B

log₂(1)

C

log₂(2)

D

log₂(4)

2

What is the value of log₂(128)?

A

6

B

7

C

8

D

9

3

Which of the following is equal to log₂(8) × log₈(2)?

A

1

B

0

C

2

D

3

4

Simplify log₅(125) - log₅(5).

A

2

B

3

C

25

D

1

5

The sum of two irrational numbers is:

A

Sometimes rational, sometimes irrational

B

Always irrational

C

Always rational

D

Always an integer

6

Which law of logarithms states that logₐ(MN) = logₐ M + logₐ N?

A

Product law

B

Quotient law

C

Power law

D

Change of base law

7

Simplify: a⁵ × a⁻².

A

a³

B

a⁷

C

a⁻¹⁰

D

a³/²

8

Write 1.23 × 10⁻² in standard notation.

A

0.0123

B

123

C

0.123

D

1230

9

The decimal expansion of 1/7 is:

A

Terminating

B

Non-terminating and repeating

C

Non-terminating and non-repeating

D

Undefined

10

What is log₇(49)?

A

1

B

2

C

7

D

0.5

11

Which of the following is in correct scientific notation?

A

3.2 × 10⁶

B

32 × 10⁵

C

0.32 × 10⁷

D

-

12

Simplify: logₕ(hⁿ) for h>0, h≠1.

A

n

B

hⁿ

C

1

D

0

13

Simplify log₁₀(100) - log₁₀(10).

A

1

B

2

C

10

D

0

14

The sum of two irrational numbers is:

A

Always rational

B

Always irrational

C

Always zero

D

Sometimes rational

15

Which property states that a + b = b + a?

A

Commutative property of addition

B

Associative property of addition

C

Distributive property

D

Identity property of addition

16

What is the value of (1/2)⁻²?

A

1/4

B

4

C

-4

D

1

17

Simplify: 4⁻²

A

1/16

B

16

C

-16

D

-1/16

18

The recurring decimal 0.555... can be expressed in the form p/q as:

A

1/2

B

5/10

C

5/99

D

5/9

19

The multiplicative inverse of -3/4 is:

A

3/4

B

4/3

C

-4/3

D

1

20

Simplify log₂(16) + log₂(2).

A

5

B

4

C

6

D

3

🎉 Practice Complete!