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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Convert 4^2 = 16 into logarithmic form.
💡 Hint: Think about what exponent gives you 16 when 4 is raised.
Question 2
Easy
Convert log_49 = 2 into exponential form.
💡 Hint: Remember that log_a(b) = c translates to a^c = b.
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_10(100) equal?
- 1
- 2
- 3
💡 Hint: Think of what power 10 must be raised to in order to get 100.
Question 2
True or False: Natural logarithms use base 10.
- True
- False
💡 Hint: Remember the special number e, which is approximately 2.718.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
If log_3(x^2 - 3) = 2, solve for x.
💡 Hint: Transform the logarithmic equation into an exponential form and factor the equation.
Question 2
Prove that log_4(16) + log_4(1) = 2.
💡 Hint: Logarithm of 1 equals 0 across all bases.
Challenge and get performance evaluation