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Evaluate logarithms without a calculator

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

Name

Date

Score/ 16

Question 1
Evaluate log₂ (1/32).
Answer
Question 2
Evaluate log₁₀ 1.
Answer
Question 3
Evaluate log₈ 2. Give a fraction if needed.
Answer(as a fraction)
Question 4
Evaluate log₂ (1/16).
Answer
Question 5
Evaluate log₁₀ 1000.
Answer
Question 6
Evaluate log₈ 2. Give a fraction if needed.
Answer(as a fraction)
Question 7
Evaluate log₃ (1/27).
Answer
Question 8
Evaluate log₂ 2.
Answer
Question 9
Evaluate log₄ 8. Give a fraction if needed.
Answer(as a fraction)
Question 10
Evaluate log₅ (1/5).
Answer
Question 11
Evaluate log₃ 1.
Answer
Question 12
Evaluate log₁₆ 8. Give a fraction if needed.
Answer(as a fraction)
Question 13
Evaluate log₃ (1/27).
Answer
Question 14
Evaluate log₃ 243.
Answer
Question 15
Evaluate log₈ 2. Give a fraction if needed.
Answer(as a fraction)
Question 16
Evaluate log₃ (1/3).
Answer

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Answer key: Evaluate logarithms without a calculator

1. -5
2. 0
3. 1/3
4. -4
5. 3
6. 1/3
7. -3
8. 1
9. 3/2
10. -1
11. 0
12. 3/4
13. -3
14. 5
15. 1/3
16. -1