📝 Algebraic Properties Of Ln X

📖 From Calculus • 6. Integration • 23 questions available

Practice MCQs for Algebraic Properties Of Ln X. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-16

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📝 Sample Questions

Q1. Which property correctly expresses the logarithm of a product?

🔹 A. \(\ln(a) + \ln(b)\)

🔹 B. \(\ln(ab)\)

🔹 C. \(\ln(a - b)\)

🔹 D. \(\ln(a/b)\)

💡 Difficulty: easy | ✅ Correct: B

Q2. Using the change‑of‑base formula, \(\ln(7)\) can be written as which of the following?

🔹 A. \(\log_{10} 7 \div \log_{10} e\)

🔹 B. \(\log_{10} 7 \div \log_{10} e\)

🔹 C. \(\log_2 7 \div \log_2 e\)

🔹 D. \(\log_{10} 7 \div \log_{10} e\)

💡 Difficulty: medium | ✅ Correct: D

Q3. Which statement correctly describes the concavity of \(\ln x\) on its domain?

🔹 A. \(\ln x\) is convex because its second derivative is positive

🔹 B. \(\ln x\) is concave because its second derivative is negative

🔹 C. \(\ln x\) is neither convex nor concave

🔹 D. \(\ln x\) changes concavity at \(x = 1\)

💡 Difficulty: hard | ✅ Correct: B

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🔗 Related Topics

📝 Approximating Roots 📝 Areas and Limits 📝 Continuity in Applications 📝 Continuity of Compositions 📝 Continuity of Inverse Functions

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