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Combine logarithms into a single logarithm

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

Name

Date

Score/ 16

  1. Question 1

    3 log 2 + log 4 = log N. Find N.

    Answer

  2. Question 2

    log 4 + log 4 − log 2 = log N. Find N.

    Answer

  3. Question 3

    Write 3 log 3 − log 3 + log 5 as a single logarithm log N. Find N.

    Answer

  4. Question 4

    2 log 2 + log 6 = log N. Find N.

    Answer

  5. Question 5

    log 11 + log 6 − log 3 = log N. Find N.

    Answer

  6. Question 6

    Write 2 log 4 − log 4 + log 2 as a single logarithm log N. Find N.

    Answer

  7. Question 7

    3 log 5 + log 9 = log N. Find N.

    Answer

  8. Question 8

    log 9 + log 5 − log 9 = log N. Find N.

    Answer

  9. Question 9

    Write 2 log 4 − log 4 + log 2 as a single logarithm log N. Find N.

    Answer

  10. Question 10

    3 log 4 + log 2 = log N. Find N.

    Answer

  11. Question 11

    log 11 + log 7 − log 11 = log N. Find N.

    Answer

  12. Question 12

    Write 2 log 3 − log 3 + log 5 as a single logarithm log N. Find N.

    Answer

  13. Question 13

    3 log 5 + log 3 = log N. Find N.

    Answer

  14. Question 14

    log 8 + log 6 − log 8 = log N. Find N.

    Answer

  15. Question 15

    Write 3 log 3 − log 9 + log 6 as a single logarithm log N. Find N.

    Answer

  16. Question 16

    3 log 4 + log 6 = log N. Find N.

    Answer

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Answer key: Combine logarithms into a single logarithm

  1. 1. 32

  2. 2. 8

  3. 3. 45

  4. 4. 24

  5. 5. 22

  6. 6. 8

  7. 7. 1125

  8. 8. 5

  9. 9. 8

  10. 10. 128

  11. 11. 7

  12. 12. 15

  13. 13. 375

  14. 14. 6

  15. 15. 18

  16. 16. 384