Logarithmic Properties

The logarithm is the inverse function to exponentiation. It means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

eg., 

log_b x = y which is same to b^y = x

log₂ 8 = 3 same as 2³ = 8

The following are the properties of logarithm.

log_b xy = log_b x + log_b y

log_b (x/y) = log_b x - log_b y

log_b xⁿ = n log_b x

log_b a = log_c a / log_c b

log_b a = 1 / log_a b

Some basic values of logarithm

log_b1 = 0

log_bb = 1

log_bb² = 2