Definition: the Logarithm of a positive number
base
called exponent, which need to build
to get
.

Examples:
as
;
because 
Logarithm

The natural logarithm

Definition of a logarithm

Examples: 

The properties and formula of logarithms 
The logarithm of a unit on any basis is zero
The logarithm of the compositions of positive integers is equal to the sum of the logarithms of the multipliers
The logarithm of the share of positive numbers equals the difference of logarithms of dividend and divisor
The logarithm of the degree of positive numbers is equal to the product of the exponent on the logarithm of the base of this degree
The generalized formula of logarithms
The formula of transition from one base of logarithm to another












