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Home > Math Facts > Algebra > Logarithm

Logarithm Rules and Tables

Logarithm Definition:

If then , where x is a real number, a and N are positive real numbers

Logarithm Rules :

	because
	Logarithm of a Complex Number: k is an integer
and

 

       where A, B, C, D, x, a, b are positive real numbers and e = Euler's Number ( the natural number )

Also:

The logarithm in base e ( Euler's Number ) is by convention ln ;

The logarithm in base 10 is by convention lg ;