Chapter 2 of 42
Syllabus
Logarithm and Its Properties — Syllabus
JEE Mains · Mathematics
Topics covered in Logarithm and Its Properties for JEE Mains Mathematics. Understand the syllabus structure and key areas to focus on.
Interactive on Super Tutor
Studying Logarithm and Its Properties? Get the full chapter — free.
Practice questions, revision notes, formula sheet and AI doubt-solver — built for JEE Mains Mathematics.
Super Tutor
Learn better with visuals Super Tutor has hundreds of illustrations like this across every chapter — all free to try.
Get startedLogarithm and Its Properties — Syllabus & Topics
Topics covered in Logarithm and Its Properties for JEE Mains Mathematics.
Topics in Logarithm and Its Properties
1
Exponential Functions - Foundation
- f(x) = aˣ where a > 0, a ≠ 1 is an exponential function
- For a > 1: function is increasing, graph rises from left to right
- For 0 < a < 1: function is decreasing, graph falls from left to right
2
Logarithmic Functions - Basics and Definition
- If aˣ = y, then logₐ y = x (logarithm is the inverse of exponential)
- f(x) = logₐ x has domain (0, ∞) and range R
- For a > 1: logarithmic function is increasing
3
Fundamental Laws of Logarithms
- Product Rule: logₐ(mn) = logₐ m + logₐ n
- Quotient Rule: logₐ(m/n) = logₐ m - logₐ n
- Power Rule: logₐ(mᵇ) = b logₐ m
4
Logarithmic Equations - Systematic Approach
- Always check domain: all logarithmic terms must have positive arguments
- Use logarithmic laws to simplify before solving
- Convert to exponential form when helpful
Key Concepts
Function of form f(x) = aˣIf aˣ = ylog_a(mn) = log_a m + log_alog_a(m/n) = log_a mlog_a(mᵇ) = b·log_a m
Frequently Asked Questions
What topics are covered in Logarithm and Its Properties for JEE Mains?
Logarithm and Its Properties is an important chapter in JEE Mains Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Exponential Functions - Foundation, Logarithmic Functions - Basics and Definition, Fundamental Laws of Logarithms, Logarithmic Equations - Systematic Approach.
How important is Logarithm and Its Properties for JEE Mains?
Logarithm and Its Properties is a frequently tested chapter in JEE Mains Mathematics. Questions from this chapter appear regularly in previous year papers. There are 45 practice questions available for this chapter.
How to prepare Logarithm and Its Properties for JEE Mains?
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 Logarithm and Its Properties
For JEE Mains aspirants
Get the full Logarithm and Its Properties chapter — for free.
Practice questions, revision notes, formula sheet and AI doubt-solver for JEE Mains Mathematics.