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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Use the Product Rule: Simplify log_2(12) = log_2(3) + log_2(4).
💡 Hint: What number do 3 and 4 multiply to give?
Question 2
Easy
Apply the Quotient Rule: Simplify log_10(100) - log_10(10).
💡 Hint: What is 100 divided by 10?
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 is the Product Rule for logarithms?
- log_a(mn) = log_a(m) + log_a(n)
- log_a(m/n) = log_a(m) - log_a(n)
- log_a(m^k) = k * log_a(m)
💡 Hint: Think about how multiplication relates to addition.
Question 2
True or False: The Power Rule states that log_a(m^k) = log_a(m) + k.
- True
- False
💡 Hint: Remember how exponents are represented in logarithms.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Show how log_2(32) can be expressed using the Product Rule and verify the answer.
💡 Hint: Think about how you can break down 32 into smaller parts.
Question 2
If log_3(9) = 2, derive how log_3(27) can be computed using the Power Rule.
💡 Hint: Focus on expressing 27 in terms of powers of 3.
Challenge and get performance evaluation