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Logarithms — Study Plan

XAT · Quantitative Ability & Data Interpretation

Step-by-step Logarithms study plan for XAT Quantitative Ability & Data Interpretation 2026 — structured month-wise approach to mastering this chapter.

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An illustration showing the relationship between logarithmic form (log_a m = x) and exponential form (a^x = m), highlighting the constraints on 'a' and 'm'.
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How to Study Logarithms

A structured approach to studying Logarithms for XAT Quantitative Ability & Data Interpretation.

Study Plan for Logarithms

1

Day 1–2: Learn the Theory

Study the chapter thoroughly. Note down definitions, formulas, and key concepts.

2

Day 3: Practice Problems

Solve practice questions and previous year XAT problems. There are 58 questions available for this chapter.

3

Day 4: Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding.

What to Focus On

  • Logarithm is the inverse of exponentiation: a^x = m ⟺ x = log_a(m)
  • Base 'a' must be positive and not equal to 1
  • The number 'm' must be positive

  • log_a(1) = 0 for all valid bases a
  • log_a(a) = 1 for all valid bases a
  • These properties are universal and apply to all logarithmic systems

  • Product Rule: log_a(mn) = log_a(m) + log_a(n)
  • Quotient Rule: log_a(m/n) = log_a(m) - log_a(n)
  • Power Rule: log_a(m^n) = n × log_a(m)

Common Mistakes to Avoid

log(a + b) = log a + log b

log(-x) is always undefined

log_a(b^n) = n × log_a(b) only when n is a positive integer

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Frequently Asked Questions

What topics are covered in Logarithms for XAT?
Logarithms is an important chapter in XAT Quantitative Ability & Data Interpretation. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Definition and Basic Concepts, Laws of Logarithms, Base Change Rule, Characteristic and Mantissa.
How important is Logarithms for XAT?
Logarithms is a frequently tested chapter in XAT Quantitative Ability & Data Interpretation. Questions from this chapter appear regularly in previous year papers. There are 58 practice questions available for this chapter.
How to prepare Logarithms for XAT?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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