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Logarithms

11th grade (Year 12 in England) · 16 questions · Common Core: HSF.BF.B.5, HSF.LE.A.4

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  1. Question 1

    Mei is revising the quotient law of logarithms. Which statement is true?

    • A. log(a/b) = log a − log b
    • B. log(ab) = log a × log b
    • C. log(a + b) = log a + log b
    • D. log(a/b) = log a ÷ log b

  2. Question 2

    Evaluate log(10000).

    Answer

  3. Question 3

    Evaluate log_3(27) + log_3(27).

    Answer

  4. Question 4

    Tariq is revising the quotient law of logarithms. Which statement is true?

    • A. log(a + b) = log a + log b
    • B. log(ab) = log a × log b
    • C. log(a/b) = log a − log b
    • D. log(a/b) = log a ÷ log b

  5. Question 5

    Evaluate log_4(1/4).

    Answer

  6. Question 6

    Evaluate log_2(8) + log_2(2).

    Answer

  7. Question 7

    Lucia is revising the product law of logarithms. Which statement is true?

    • A. log(ab) = log a + log b
    • B. log(a + b) = log a + log b
    • C. log(a/b) = log a ÷ log b
    • D. log(ab) = log a × log b

  8. Question 8

    Evaluate log(100).

    Answer

  9. Question 9

    Evaluate log_5(5) + log_5(5).

    Answer

  10. Question 10

    Mateo is revising the product law of logarithms. Which statement is true?

    • A. log(a/b) = log a ÷ log b
    • B. log(a + b) = log a + log b
    • C. log(ab) = log a × log b
    • D. log(ab) = log a + log b

  11. Question 11

    Evaluate log_3(27).

    Answer

  12. Question 12

    Evaluate log_3(9) − log_3(3).

    Answer

  13. Question 13

    Grace is revising the power law of logarithms. Which statement is true?

    • A. log(a/b) = log a ÷ log b
    • B. log(ab) = log a × log b
    • C. log(a + b) = log a + log b
    • D. log(aⁿ) = n log a

  14. Question 14

    Evaluate log_5(1/25).

    Answer

  15. Question 15

    Evaluate log_2(4) + log_2(2).

    Answer

  16. Question 16

    Ines is revising the power law of logarithms. Which statement is true?

    • A. log(ab) = log a × log b
    • B. log(aⁿ) = n log a
    • C. log(a + b) = log a + log b
    • D. log(a/b) = log a ÷ log b

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Answer key: Logarithms

  1. 1. A. log(a/b) = log a − log b

  2. 2. 4

  3. 3. 6

  4. 4. C. log(a/b) = log a − log b

  5. 5. -1

  6. 6. 4

  7. 7. A. log(ab) = log a + log b

  8. 8. 2

  9. 9. 2

  10. 10. D. log(ab) = log a + log b

  11. 11. 3

  12. 12. 1

  13. 13. D. log(aⁿ) = n log a

  14. 14. -2

  15. 15. 3

  16. 16. B. log(aⁿ) = n log a