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Formula Sheet

Logarithms — Formula Sheet

SNAP · Quantitative Aptitude

All important formulas from Logarithms for SNAP Quantitative Aptitude. Quick reference for revision and problem solving.

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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'.
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Formula Sheet — Logarithms

Important formulas and equations from Logarithms for SNAP Quantitative Aptitude.

Formulas — Logarithms

Basic Definitions and Properties

log_a(m) = x ⟺ a^x = m
log_a(1) = 0
log_a(a) = 1

Laws 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 > x₂
If 0 < a < 1 and log_a(x₁) > log_a(x₂), then x₁ < x₂

Applied Results and Problem Solving

Number of integers = a^(n+1) - a^n

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Frequently Asked Questions

What topics are covered in Logarithms for SNAP?
Logarithms is an important chapter in SNAP 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 SNAP?
Logarithms is a frequently tested chapter in SNAP Quantitative Aptitude. Questions from this chapter appear regularly in previous year papers. There are 45 practice questions available for this chapter.
How to prepare Logarithms for SNAP?
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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