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# An Analysis of Logarithm

Logarithm Logarithm is the exponent or power to which a base must be raised to yield a given number An example of a logarithm is as follows In the expression bx N if b is the base and equal to 10 and N a number equal to 100 then x is equal to 2 and is said to be the logarithm of 100 to the base 10 This is written log 100 2 in which it is understood that log means logarithm to the base 10 The latter is also called a common logarithm Logarithms that employ the base e in which e 271828 are called natural or Napierian logarithms the notation used is ln to distinguish natural logarithms from common logarithms log When a common logarithm of a number is written as the sum of an integer and a positive decimal eg 23147 the integer--called the characteristic--serves to locate the decimal point in the number and the decimal--called the mantissa--indicates the digits in the number The latter are determined from tables of logarithms which relate mantissas to numbers When the number is greater than or equal to 1 the characteristic is 1 less than the number of digits to the left of the decimal point when the number is less than 1 the characteristic is negative and is 1 more than the number of zeros following the decimal point For example the number 3650 has the characteristic 2 the number 0005 has the characteristic -3 FUNCTION l Metaphor that image which determines another image Rogers 2 An association of a certain objects from one set with each object from another set mathematics Rogers 3 The normal or characteristic action of a system of entities generally in time Iberall 4 The variation of some magnitude that depends upon the variation of some other magnitude Iberall 5 a notion that arises in the description made by the

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