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20 questions and an answer page, sized for A4.

Logarithm laws

Year 11 · Functions & Graphs · 20 questions

Name
Date
  1. 1.
    Simplify 4 log_10(10000).
  2. 2.
    Simplify 2 log_2(8).
  3. 3.
    Simplify log_3(3^4) + log_3(3^3).
  4. 4.
    Simplify 4 log_3(9).
  5. 5.
    Simplify log_10(10^5) + log_10(10^4).
  6. 6.
    Simplify log_2(64) − log_2(2).
  7. 7.
    Simplify log_2(128) − log_2(4).
  8. 8.
    Simplify 3 log_2(32).
  9. 9.
    Simplify log_3(2187) − log_3(81).
  10. 10.
    Simplify log_2(64) − log_2(8).
  11. 11.
    Simplify 3 log_2(4).
  12. 12.
    Simplify 2 log_3(27).
  13. 13.
    Simplify 2 log_10(10000).
  14. 14.
    Simplify log_10(10^4) + log_10(10^4).
  15. 15.
    Simplify log_3(729) − log_3(81).
  16. 16.
    Simplify log_2(2^4) + log_2(2^3).
  17. 17.
    Simplify log_2(2^5) + log_2(2^2).
  18. 18.
    Simplify log_3(3^4) + log_3(3^1).
  19. 19.
    Simplify log_10(10^4) + log_10(10^2).
  20. 20.
    Simplify log_10(10^3) + log_10(10^2).

Free maths worksheets and practice: rocketdigits.com/learn/logarithm-laws

Answers: Logarithm laws

  1. 16
  2. 6
  3. 7
  4. 8
  5. 9
  6. 5
  7. 5
  8. 15
  9. 3
  10. 3
  11. 6
  12. 6
  13. 8
  14. 8
  15. 2
  16. 7
  17. 7
  18. 5
  19. 6
  20. 5

Free maths worksheets and practice: rocketdigits.com/learn/logarithm-laws

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