Practice - Power Rule
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Practice Questions
Test your understanding with targeted questions
Simplify log_4(16^2).
💡 Hint: What is 16 in terms of 4?
What is log_3(9^3)?
💡 Hint: How many times is 3 in 9?
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Power Rule state?
💡 Hint: Focus on how exponents can be represented in logarithmic equations.
True or False: log_2(8^2) simplifies to 4.
💡 Hint: What is the base of the logarithm, and how do exponents work?
1 more question available
Challenge Problems
Push your limits with advanced challenges
If log_5(m^4) = 12, find the value of m.
💡 Hint: Use the Power Rule to break down the logarithmic relation.
Prove that log_10(10^n) = n for any real number n.
💡 Hint: Test the definition of logarithms to establish the relationship.
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Reference links
Supplementary resources to enhance your learning experience.