Definition and Properties of Logarithms

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Definition and Properties of Logarithms Revision Questions

1. . Which of the following is equivalent to 3⁵ = 243?

1. log₃ 5 = 243
2. log₅ 3 = 243
3. log₃ 243 = 5
4. log₅ 243 = 3

Reveal AnswerCorrect Answer: C

2. . The expression log 6² is equivalent to

1. 6 log 2
2. 2 log 6
3. 2 log 10
4. log₆ 36

Reveal AnswerCorrect Answer: B

3. . The number 32 in the expression log₂ 32 = 5 represents the

1. Base
2. Argument
3. Logarithm
4. Exponent

Reveal AnswerCorrect Answer: B

4. . The expression log₁₆ 4 is equal to

1. 2
2. 4
3. 64
4. 1/2

Reveal AnswerCorrect Answer: D

5. . What is the result of the operation 4 log₂ 8 + log₃ 9?

1. 5
2. 9
3. 12
4. 14

Reveal AnswerCorrect Answer: D

6. . What is the result of the operations

1. 12
2. 24
3. 80
4. 1024

Reveal AnswerCorrect Answer: A

7. . What is the result of the operation

1. 2
2. 75/4
3. 16
4. 100

Reveal AnswerCorrect Answer: A

8. . What is the value of the expression

1. 5/6
2. 6/5
3. 1/2
4. -1/2

Reveal AnswerCorrect Answer: A

9. . The expression

1. 2
2. 1
3. 0
4. -8

Reveal AnswerCorrect Answer: B

10. . Which of the following options is equivalent to

1. 1/2 log₃ 5 + 7 log₃ x
2. 1/2 (log₃ 5 + 7 log₃ x )
3. 7 log₃ 5x
4. 7/2 log₃ 5x

Reveal AnswerCorrect Answer: B

11. . Which of the following options is equivalent to

1. log₃ 40a/148bc
2. log₃ (40a - 8b - 16c)
3. log₃ a⁴⁰/b⁸ c¹6
4. 48 log₃ a/bc

Reveal AnswerCorrect Answer: C

12. . What is the value of the expression

1. 41/4
2. 15/2
3. -25/2
4. -15/2

Reveal AnswerCorrect Answer: C

13. . What is the value of the expression

1. -4
2. -2
3. 0
4. 4

Reveal AnswerCorrect Answer: C

14. . What is

1. 4
2. 6
3. 7
4. 26

Reveal AnswerCorrect Answer: B

15. . What is

1. -1
2. 0
3. 1
4. 2

Reveal AnswerCorrect Answer: B

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6. Continuing learning logarithms - read our next math tutorial: Exponential and Logarithmic Equations

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