How to prepare for लघुगणक (Logarithms) for CUET-UG ?

Expected Weightage

The Common University Entrance Test (CUET) for Mathematics includes Logarithms (लघुगणक) as part of its syllabus. Below is an analysis of the marking pattern and chapter-wise weightage for Logarithms based on the last three years (2022–2024):

1. CUET Mathematics Exam Pattern (2022–2024)

  • Total Questions: 50 (out of which 40 must be attempted)
  • Marks per Question: +5 for correct, -1 for incorrect
  • Total Marks: 200 (40 × 5)
  • Duration: 45 minutes

2. Logarithms (लघुगणक) Weightage in CUET (2022–2024)

YearNo. of QuestionsMarks Weightage
20242–310–15
2023210
20221–25–10
  • Average Weightage: ~5–10 marks per year (~2–3 questions).
  • Difficulty Level: Moderate (mostly formula-based, with some application questions).

3. Topic-wise Breakdown of Logarithm Questions

Logarithm questions in CUET generally cover: - Basic Properties (log identities, change of base rule) – 40% - Equations Inequalities (solving log equations) – 30% - Applications (exponential growth/decay, compound interest) – 20% - Graphs Characteristics (domain, range, behavior) – **10%

4. Comparison with Other Chapters

Logarithms is a moderate-weightage chapter compared to: - High-Weightage Chapters: Algebra (20–25 marks), Calculus (15–20 marks), Probability (10–15 marks). - Similar-Weightage Chapters: Matrices (5–10 marks), Trigonometry (5–10 marks).

5. Expected Trend for 2025

  • Likely to remain 2–3 questions (10–15 marks).
  • More focus on application-based problems (e.g., growth models, pH calculations).

6. Preparation Tips

  • Revise Key Formulas:
  • $ \log(ab) = \log a + \log b $
  • $ \log\left(\frac{a}{b}\right) = \log a - \log b $
  • $ \log(a^n) = n \log a $
  • Change of base: $ \log_b a = \frac{\log_k a}{\log_k b} $
  • Practice Previous Year Questions (PYQs) from CUET and NCERT.
  • Solve MCQs on logarithmic equations inequalities.

Conclusion

Logarithms is a small but consistent part of CUET Mathematics (~5–10 marks/year). Focus on basic properties and applications for quick scoring. If you master this chapter, it can help in securing easy marks within less time.

Would you like a topic-wise question breakdown or recommended books for CUET Logarithms?

Last edited by a moderator: Jun 3, 2025

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Study Tips

  • Start with NCERT textbooks for strong foundation
  • Practice previous year questions regularly
  • Take mock tests to assess your preparation
  • Focus on high-weightage topics first

Need help with other subjects? Explore all CUET subjects

Quick Navigation

Related Content

Explore more quantitative-reasoning topics and related subjects:

Study Tips

  • Start with NCERT textbooks for strong foundation
  • Practice previous year questions regularly
  • Take mock tests to assess your preparation
  • Focus on high-weightage topics first

Need help with other subjects? Explore all CUET subjects