Practice Quotient Rule (3.2) - Introduction to Logarithms - IB 10 Mathematics – Group 5, Algebra
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Quotient Rule

Practice - Quotient Rule

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Practice Questions

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Question 1 Easy

Convert log(36/6) into simpler terms using the Quotient Rule.

💡 Hint: Remember, log(a/b) = log a - log b.

Question 2 Easy

Simplify log(24/3) using the Quotient Rule.

💡 Hint: Recall the definition of the Quotient Rule.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

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)

💡 Hint: Think about how we combine logarithmic identities.

Question 2

True or False: The Quotient Rule can only be applied when m and n are both negative.

True
False

💡 Hint: Remember the restrictions on logarithm arguments.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Evaluate log(125/25) using the Quotient Rule and demonstrate each step.

💡 Hint: Think about the base power needed for both numbers.

Challenge 2 Hard

Demonstrate the use of the Quotient Rule on log(1600/16) and prove the validity of your steps.

💡 Hint: Identify the components of the numbers in convenient bases.

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