Chapter 16 of 19
Formula Sheet
Logarithms — Formula Sheet
CAT · Quantitative Aptitude
Free Logarithms formula sheet for CAT Quantitative Aptitude 2026 — all important formulas, equations, and constants for quick reference.
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Important formulas and equations from Logarithms for CAT Quantitative Aptitude.
Formulas — Logarithms
Basic Definitions and Properties
log_a(m) = x ⟺ a^x = mlog_a(1) = 0log_a(a) = 1Laws of Logarithms
log_a(mn) = log_a(m) + log_a(n)log_a(m/n) = log_a(m) - log_a(n)log_a(m^n) = n·log_a(m)log_a(b) = log_c(b)/log_c(a)log_a(b) = 1/log_b(a)Logarithmic Inequalities
If a > 1 and log_a(x₁) > log_a(x₂), then x₁ > x₂If 0 < a < 1 and log_a(x₁) > log_a(x₂), then x₁ < x₂Applied Results and Problem Solving
Number of integers = a^(n+1) - a^nGet the complete formula sheet with derivations — continue in Super Tutor
Frequently Asked Questions
What topics are covered in Logarithms for CAT?
Logarithms is an important chapter in CAT Quantitative Aptitude. 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 CAT?
Logarithms is a frequently tested chapter in CAT Quantitative Aptitude. Questions from this chapter appear regularly in previous year papers. There are 58 practice questions available for this chapter.
How to prepare Logarithms for CAT?
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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