Practice Product Rule - 3.1 | 12. Introduction to Logarithms | IB Class 10 Mathematics – Group 5, Algebra
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3.1 - Product Rule

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Convert log_10(100) + log_10(10) using the Product Rule.

💡 Hint: Remember to multiply the arguments together.

Question 2

Easy

Use the Product Rule: log_5(25) + log_5(5).

💡 Hint: What do 25 and 5 multiply to?

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does the Product Rule state?

  • log_a(m * n) = log_a(m) * log_a(n)
  • log_a(m * n) = log_a(m) + log_a(n)
  • log_a(m/n) = log_a(m) + log_a(n)

💡 Hint: Look for the operation that connects multiplication.

Question 2

True or False: log_a(2) + log_a(3) = log_a(6)

  • True
  • False

💡 Hint: Consider the multiplication relationship.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Evaluate log_4(64) + log_4(16). What does it equal?

💡 Hint: What do 64 and 16 equal when multiplied?

Question 2

If log_2(16) + log_2(4 * x) = 7, find the value of x.

💡 Hint: Use the Product Rule to simplify before solving.

Challenge and get performance evaluation