Chapter 16 of 19
Important Topics
Logarithms — Important Topics
XAT · Quantitative Ability & Data Interpretation
Most important topics from Logarithms for XAT Quantitative Ability & Data Interpretation 2026 — high-weightage areas based on previous year analysis.
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Topics covered in Logarithms for XAT Quantitative Ability & Data Interpretation.
Topics in Logarithms
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
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.
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