Practice Quotient Rule (3.2) - Introduction to Logarithms - IB 10 Mathematics

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6 sample questions

Question 1.
Convert log(36/6) into simpler terms using the Quotient Rule.
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Remember, log(a/b) = log a - log b.
Question 2.
Simplify log(24/3) using the Quotient Rule.
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Recall the definition of the Quotient Rule.
3Question 3.
The Quotient Rule states that log_a(m/n) equals which of the following?
- log_a(m) + log_a(n)
- log_a(m) - log_a(n)
- log_a(m) x log_a(n)
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Think about how we combine logarithmic identities.
4Question 4.
True or False: The Quotient Rule can only be applied when m and n are both negative.
- True
- False
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Remember the restrictions on logarithm arguments.
Question 5.
Evaluate log(125/25) using the Quotient Rule and demonstrate each step.
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Think about the base power needed for both numbers.
Question 6.
Demonstrate the use of the Quotient Rule on log(1600/16) and prove the validity of your steps.
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Identify the components of the numbers in convenient bases.

4 more questions in this section. Enroll free to practise them all.