📘 Exercise 2.3
Learn and practice Class 9 Mathematics Exercise 2.3 on Logarithms with step-by-step solutions. This page includes free downloadable notes and solved examples aligned with the PECTAA 2025 syllabus.
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Chapter 1
Real Numbers
Chapter 2
Logarithms
Chapter 3
Sets and Functions
Chapter 4
Factorization and Algebraic Manipulation
Chapter 5
Linear Equations and Inequalities
Chapter 6
Trigonometry
Chapter 7
Coordinate Geometry
Chapter 8
Logic
Chapter 9
Similar Figures
Chapter 10
Graphs of Functions
Chapter 11
Loci and Construction
Chapter 12
Information Handling
Chapter 13
Probability
Exercise 2.3 - Logarithms
This exercise focuses on characteristic and mantissa calculations and finding antilogarithms using logarithmic tables.
Exercise 2.3 provides practice problems that help students understand the concepts of characteristic and mantissa in logarithms, and develop skills in using logarithmic tables to find values and solve equations.
The exercise covers finding characteristics for numbers greater than 1 and less than 1, calculating complete logarithms using tables, and determining antilogarithms from given logarithmic values.
Key Topics Covered
- Finding characteristic for numbers greater than 1
- Finding characteristic for numbers less than 1
- Using logarithmic tables to find mantissa
- Calculating complete logarithms (characteristic + mantissa)
- Finding antilogarithms using tables
- Solving logarithmic equations for unknown variables
- Working with negative characteristics (bar notation)
Important Rules:
For numbers greater than 1: Characteristic = (number of digits to the left of decimal point) - 1
For numbers less than 1: Characteristic = -(number of zeros between decimal point and first non-zero digit + 1)
Logarithm formula: Logarithm = Characteristic + Mantissa
Created by Hira Science Academy | Aligned with PECTAA 2025 Syllabus