Practice Product Rule (3.1) - Introduction to Logarithms - IB 10 Mathematics – Group 5, Algebra
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Product Rule

Practice - Product Rule

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Learning

Practice Questions

Test your understanding with targeted questions

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?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

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

Challenge 2 Hard

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

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

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