Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take mock test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Simplify log_4(16^2).
💡 Hint: What is 16 in terms of 4?
Question 2
Easy
What is log_3(9^3)?
💡 Hint: How many times is 3 in 9?
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 Power Rule state?
- log_a(m) = k * log_a(m^k)
- log_a(m^k) = k * log_a(m)
- log_a(k) = b * log_a(a)
💡 Hint: Focus on how exponents can be represented in logarithmic equations.
Question 2
True or False: log_2(8^2) simplifies to 4.
- True
- False
💡 Hint: What is the base of the logarithm, and how do exponents work?
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
If log_5(m^4) = 12, find the value of m.
💡 Hint: Use the Power Rule to break down the logarithmic relation.
Question 2
Prove that log_10(10^n) = n for any real number n.
💡 Hint: Test the definition of logarithms to establish the relationship.
Challenge and get performance evaluation