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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

    Solve logā‚ƒ x = āˆ’2.

    Answer(as a fraction)

  2. Question 2

    Write logā‚‡ 2401 = 4 in exponential form.

    • A. 7^2401 = 4
    • B. 2401^4 = 7
    • C. 4^7 = 2401
    • D. 7^4 = 2401

  3. Question 3

    Solve logā‚‚ x = 0.

    Answer

  4. Question 4

    Write 2^3 = 8 in logarithmic form.

    • A. logā‚‚ 8 = 3
    • B. logā‚ˆ 2 = 3
    • C. logā‚ƒ 8 = 2
    • D. logā‚‚ 3 = 8

  5. Question 5

    Solve logā‚ā‚€ x = āˆ’2.

    Answer(as a fraction)

  6. Question 6

    Write logā‚ā‚€ 1000 = 3 in exponential form.

    • A. 10^1000 = 3
    • B. 3^10 = 1000
    • C. 1000^3 = 10
    • D. 10^3 = 1000

  7. Question 7

    Solve logā‚ƒ x = 2.

    Answer

  8. Question 8

    Write 6^4 = 1296 in logarithmic form.

    • A. logā‚† 4 = 1296
    • B. logā‚ā‚‚ā‚‰ā‚† 6 = 4
    • C. logā‚† 1296 = 4
    • D. logā‚„ 1296 = 6

  9. Question 9

    Solve logā‚‚ x = āˆ’2.

    Answer(as a fraction)

  10. Question 10

    Write 10^4 = 10000 in logarithmic form.

    • A. logā‚ā‚€ 10000 = 4
    • B. logā‚ā‚€ā‚€ā‚€ā‚€ 10 = 4
    • C. logā‚ā‚€ 4 = 10000
    • D. logā‚„ 10000 = 10

  11. Question 11

    Solve logā‚… x = 1.

    Answer

  12. Question 12

    Write 4^3 = 64 in logarithmic form.

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

  13. Question 13

    Solve logā‚ƒ x = 2.

    Answer

  14. Question 14

    Write 3^2 = 9 in logarithmic form.

    • A. logā‚‰ 3 = 2
    • B. logā‚ƒ 2 = 9
    • C. logā‚‚ 9 = 3
    • D. logā‚ƒ 9 = 2

  15. Question 15

    Solve log_b 9 = 2 for the base b.

    Answer

  16. Question 16

    Write 10^2 = 100 in logarithmic form.

    • A. logā‚‚ 100 = 10
    • B. logā‚ā‚€ 100 = 2
    • C. logā‚ā‚€ā‚€ 10 = 2
    • D. logā‚ā‚€ 2 = 100

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  1. 1/9
  2. 7^4 = 2401
  3. 1
  4. logā‚‚ 8 = 3
  5. 1/100
  6. 10^3 = 1000
  7. 9
  8. logā‚† 1296 = 4
  9. 1/4
  10. logā‚ā‚€ 10000 = 4
  11. 5
  12. logā‚„ 64 = 3
  13. 9
  14. logā‚ƒ 9 = 2
  15. 3
  16. logā‚ā‚€ 100 = 2