Logarithms — Formula Sheet
XAT · Quantitative Ability & Data Interpretation
Free Logarithms formula sheet for XAT Quantitative Ability & Data Interpretation 2026 — all important formulas, equations, and constants for quick reference.
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Important formulas and equations from Logarithms for XAT Quantitative Ability & Data Interpretation.
Formulas — Logarithms
Basic Definitions and Properties
log_a(m) = x ⟺ a^x = mlog_a(1) = 0log_a(a) = 1Laws 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 > x₂If 0 < a < 1 and log_a(x₁) > log_a(x₂), then x₁ < x₂Applied Results and Problem Solving
Number of integers = a^(n+1) - a^nGet the complete formula sheet with derivations — continue in Super Tutor
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