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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Convert \( \log_5(25) = 2 \) to exponential form.
💡 Hint: Recall how to express logarithms in terms of their base.
Question 2
Easy
Change \( \log_2(8) = 3 \) into exponential form.
💡 Hint: What power of 2 gives you 8?
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 is the exponential form of \( \log_5(25) = 2 \)?
- \\( 5^2 = 25 \\)
- \\( 5^3 = 125 \\)
- \\( 2^5 = 25 \\)
💡 Hint: Think about how to express log in terms of exponent.
Question 2
Is \( \log_a(b) = c \) equivalent to \( a^c = b \)?
- True
- False
💡 Hint: Recall the basic logarithmic identity.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Convert \( \log_{7}(343) = 3 \) to exponential form and verify.
💡 Hint: What number multiplied by itself three times equals 343?
Question 2
If \( \log_{x}(81) = 4 \), express it in exponential form and find the value of x.
💡 Hint: What power of 3 gives you 81?
Challenge and get performance evaluation