📝 General Logarithms

📖 From Calculus • 6. Integration • 23 questions available

Practice MCQs for General Logarithms. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-16

Easy Questions

Medium Questions

Hard Questions

Q1. What is the definition of the common logarithm (base 10) of a positive number \(x\)?

🔹 A. The exponent to which 10 must be raised to obtain \(x\)

🔹 B. The exponent to which \(e\) must be raised to obtain \(x\)

🔹 C. The natural logarithm of \(x\)

🔹 D. The reciprocal of \(x\)

💡 Difficulty: easy | ✅ Correct: A

Q2. Solve for \(x\): \(3^{2x - 1} = 27\).

🔹 A. \(x = 2\)

🔹 B. \(x = 1\)

🔹 C. \(x = 3\)

🔹 D. \(x = 4\)

💡 Difficulty: medium | ✅ Correct: C

Q3. Evaluate the integral \(\int_1^e \frac{1}{x} \, dx\).

🔹 A. 1

🔹 B. \(e\)

🔹 C. \(\ln e\)

🔹 D. 0

💡 Difficulty: hard | ✅ Correct: A

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