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Switch between exponential and logarithmic form

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

Name

Date

Score/ 16

  1. Question 1

    Write logā‚‚ 16 = 4 in exponential form.

    • A. 2^4 = 16
    • B. 2^16 = 4
    • C. 4^2 = 16
    • D. 16^4 = 2

  2. Question 2

    Solve logā‚… x = 4.

    Answer

  3. Question 3

    Write 7^2 = 49 in logarithmic form.

    • A. logā‚‚ 49 = 7
    • B. logā‚‡ 49 = 2
    • C. logā‚„ā‚‰ 7 = 2
    • D. logā‚‡ 2 = 49

  4. Question 4

    Solve log_b 10 = 1 for the base b.

    Answer

  5. Question 5

    Write 4^3 = 64 in logarithmic form.

    • A. logā‚„ 3 = 64
    • B. logā‚†ā‚„ 4 = 3
    • C. logā‚„ 64 = 3
    • D. logā‚ƒ 64 = 4

  6. Question 6

    Solve logā‚… x = 0.

    Answer

  7. Question 7

    Write 5^3 = 125 in logarithmic form.

    • A. logā‚… 125 = 3
    • B. logā‚… 3 = 125
    • C. logā‚ƒ 125 = 5
    • D. logā‚ā‚‚ā‚… 5 = 3

  8. Question 8

    Solve logā‚‚ x = 0.

    Answer

  9. Question 9

    Write 4^4 = 256 in logarithmic form.

    • A. logā‚„ 256 = 4
    • B. logā‚„ 4 = 256
    • C. logā‚‚ā‚…ā‚† 4 = 4

  10. Question 10

    Solve log_b 81 = 4 for the base b.

    Answer

  11. Question 11

    Write logā‚‚ 8 = 3 in exponential form.

    • A. 3^2 = 8
    • B. 8^3 = 2
    • C. 2^8 = 3
    • D. 2^3 = 8

  12. Question 12

    Solve log_b 10000 = 4 for the base b.

    Answer

  13. Question 13

    Write 5^4 = 625 in logarithmic form.

    • A. logā‚… 4 = 625
    • B. logā‚†ā‚‚ā‚… 5 = 4
    • C. logā‚„ 625 = 5
    • D. logā‚… 625 = 4

  14. Question 14

    Solve logā‚ƒ x = 1.

    Answer

  15. Question 15

    Write 7^3 = 343 in logarithmic form.

    • A. logā‚‡ 3 = 343
    • B. logā‚ƒ 343 = 7
    • C. logā‚ƒā‚„ā‚ƒ 7 = 3
    • D. logā‚‡ 343 = 3

  16. Question 16

    Solve logā‚ā‚€ x = 1.

    Answer

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Answer key: Switch between exponential and logarithmic form

  1. 1. A. 2^4 = 16

  2. 2. 625

  3. 3. B. logā‚‡ 49 = 2

  4. 4. 10

  5. 5. C. logā‚„ 64 = 3

  6. 6. 1

  7. 7. A. logā‚… 125 = 3

  8. 8. 1

  9. 9. A. logā‚„ 256 = 4

  10. 10. 3

  11. 11. D. 2^3 = 8

  12. 12. 10

  13. 13. D. logā‚… 625 = 4

  14. 14. 3

  15. 15. D. logā‚‡ 343 = 3

  16. 16. 10