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Formula Sheet

Logarithms — Formula Sheet

OJEE MBA · Quantitative Aptitude

Free Logarithms formula sheet for OJEE MBA Quantitative Aptitude 2026 — all important formulas, equations, and constants for quick reference.

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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 OJEE MBA 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 OJEE MBA?
Logarithms is an important chapter in OJEE MBA 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 OJEE MBA?
Logarithms is a frequently tested chapter in OJEE MBA 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 OJEE MBA?
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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