About This Cheat Sheet

Complete guide to Logarithms for competitive exams: basic definition (if a^x = N then log_a N = x), types of logarithms (common logarithm base 10, natural logarithm base e), fundamental properties (log_a 1 = 0, log_a a = 1), product rule (log_a(mn) = log_a m + log_a n), quotient rule (log_a(m/n) = log_a m – log_a n), power rule (log_a m^n = n log_a m), base change rule (log_a b = log_c b / log_c a), base reciprocal rule (log_a b = 1 / log_b a), logarithm of a number to same base, solving logarithmic equations, characteristic and mantissa concept, antilogarithm, using log tables, problems on logarithms in growth and decay, problems on logarithms in compound interest, problems on logarithms in population growth, simplification using logarithm properties, and shortcut tricks for SSC, Banking, Railway, UPSC, and other government exams.