Logrithm formula

Formulae of Logarithm

• log_a mn = log_a m + log_a n
• log_a m/n = log_a m – log_a n
• log_a mⁿ = n log_a m
• log_a m= log_b m × log_a b
• log_e m = 2.3026 log₁₀ m
• log₁₀ m = 0.4343 log_e m

Logrithmic Series

• log_e ( 1+x ) = x – x²/2 + x³/3 – x⁴/4 +……
• log_e ( 1-x ) = -[x + x²/2 + x³/3 + x⁴/4 +……]
• log_e ( 1+x ) / ( 1-x ) = 2 [x + x³/3 + x⁵/5 +……]