For base a 10 this function is known as common logarithm and for the base a e it is known as natural logarithm denoted by ln x. Logarithms with respect to any base b can be determined using either of these two logarithms by the previous formula. The identities of logarithms can be used to approximate large numbers.
Many derivations of physics are possible only due to Logarithm Formula.
If a x b Then Log a b x. X log b-1 y b y. Log a b log a c b c log a b c a c b where b 0 a 0 and a 1 log a b log a c if a 1 then b c if 0. Log b a 1 log a b where abare positive real numbers a61 b61 28.