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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Convert log_10(100) to exponential form.
💡 Hint: What exponent do you raise 10 to make 100?
Question 2
Easy
What is the value of x in log_5(x) = 3?
💡 Hint: Think about what 5 needs to be raised to in order to get x.
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 log_2(8) equal?
- 1
- 2
- 3
💡 Hint: Think about how many times you would multiply 2 to get 8.
Question 2
True or False: log_a(1) = 0 for any base a.
- True
- False
💡 Hint: Recall the definition of logarithm.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Solve log_3(2x) - log_3(x-2) = 3.
💡 Hint: Use properties of logs to combine first.
Question 2
Solve for x in log_4(x^2 - 4) = 2.
💡 Hint: Convert to exponential form to form a quadratic equation.
Challenge and get performance evaluation