Skip to main content
Super TutorResources
Chapter 16 of 19
SyllabusNotesTopicsQuestionsPlanFormulas
Revision Notes

Logarithms — Revision Notes

XAT · Quantitative Ability & Data Interpretation

Free Logarithms revision notes for XAT Quantitative Ability & Data Interpretation 2026 — key concepts, formulas, and definitions for quick revision.

Interactive on Super Tutor

Studying Logarithms? Get the full chapter — free.

Practice questions, revision notes, formula sheet and AI doubt-solver — built for XAT Quantitative Ability & Data Interpretation.

Try Super Tutor — Free
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'.
Super Tutor

Super Tutor has 7+ illustrations like this for Logarithms alone — flashcards, concept maps, and step-by-step visuals.

See them all

Revision Notes — Logarithms

Key concepts, formulas, and definitions from Logarithms for XAT Quantitative Ability & Data Interpretation preparation.

Key Topics to Revise

1

Definition and Basic Concepts

  • If a^x = m, then x = log_a(m), where 'a' is the base, 'm' is the argument, and 'x' is the logarithm
  • Logarithm is only defined for positive real numbers as arguments
  • Base 'a' must be positive and not equal to 1
2

Laws of Logarithms

  • Product Law: log_a(mn) = log_a(m) + log_a(n)
  • Quotient Law: log_a(m/n) = log_a(m) - log_a(n)
  • Power Law: log_a(m^n) = n·log_a(m)
3

Base Change Rule

  • Allows conversion between different logarithmic bases
  • Essential for solving problems with mixed bases
  • Formula: log_a(b) = log_c(b)/log_c(a)
4

Characteristic and Mantissa

  • Any logarithm consists of integer part (characteristic) and decimal part (mantissa)
  • Characteristic can be positive, negative, or zero
  • Mantissa is always written as positive

Get complete revision notes with diagrams and examples — continue in Super Tutor

Key Concepts

If a^x = mTwo essential propertiesThree fundamental lawsLogarithms with base 10 are calledEvery logarithm consists of two parts

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.

More resources for Logarithms

All 19 chapters — XAT Quantitative Ability & Data Interpretation Revision Notes

For XAT aspirants

Get the full Logarithms chapter — for free.

Practice questions, revision notes, formula sheet and AI doubt-solver for XAT Quantitative Ability & Data Interpretation.

Try Super Tutor Free
Try the full chapter — Free