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Logarithms

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

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Date

Score/ 16

Question 1
Evaluate log_3(27) − log_3(3).
Answer
2
Question 2
Aisha is revising the product law of logarithms. Which statement is true?
- A. log(ab) = log a + log b
- B. log(a + b) = log a + log b
- C. log(a/b) = log a ÷ log b
- D. log(ab) = log a × log b
Question 3
Evaluate log_2(4).
Answer
Question 4
Evaluate log_2(4) + log_2(8).
Answer
5
Question 5
Luis is revising the product law of logarithms. Which statement is true?
- A. log(ab) = log a × log b
- B. log(a/b) = log a ÷ log b
- C. log(ab) = log a + log b
- D. log(a + b) = log a + log b
Question 6
Evaluate log_5(5).
Answer
Question 7
Evaluate log_5(625) − log_5(25).
Answer
8
Question 8
Yuki is revising the product law of logarithms. Which statement is true?
- A. log(ab) = log a × log b
- B. log(a/b) = log a ÷ log b
- C. log(a + b) = log a + log b
- D. log(ab) = log a + log b
Question 9
Evaluate log_3(9).
Answer
Question 10
Evaluate log_2(2) + log_2(2).
Answer
11
Question 11
Kwame is revising the power law of logarithms. Which statement is true?
- A. log(a/b) = log a ÷ log b
- B. log(aⁿ) = n log a
- C. log(ab) = log a × log b
- D. log(a + b) = log a + log b
Question 12
Evaluate log_5(25).
Answer
Question 13
Evaluate log_3(3) + log_3(3).
Answer
14
Question 14
Zara is revising the product law of logarithms. Which statement is true?
- A. log(ab) = log a × log b
- B. log(a/b) = log a ÷ log b
- C. log(a + b) = log a + log b
- D. log(ab) = log a + log b
Question 15
Evaluate log_3(1/9).
Answer
Question 16
Evaluate log_2(8) + log_2(4).
Answer

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