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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Convert \( 2^3 = 8 \) to logarithmic form.
💡 Hint: Use the definition of logarithm.
Question 2
Easy
Convert \( 5^2 = 25 \) to logarithmic form.
💡 Hint: Remember, you find the exponent.
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?
- A) \\( \\log_a(mn) = \\log_a(m) - \\log_a(n) \\)
- B) \\( \\log_a(mn) = \\log_a(m) + \\log_a(n) \\)
- C) \\( \\log_a(m^n) = n \\log_a(m) \\)
💡 Hint: Remember how logs combine during multiplication.
Question 2
Is \( \log_2(8) = 3 \) TRUE or FALSE?
- True
- False
💡 Hint: Check by transforming it to exponential form.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Simplify \( \log_2(16) + \log_2(8) - \log_2(4) \).
💡 Hint: Combine before calculating!
Question 2
If \( \log_a(m^k) = n \), what is \( m \) in terms of \( a \) and \( n \)?
💡 Hint: Use the Power and Exponential properties.
Challenge and get performance evaluation