Friday, July 23, 2010

Introduction to Logarithm

In this section let me help you on what is all about logarithm. Keep reading if you have any doubts .. do leave your comments.

Introduction:
In mathematics, the logarithm of a number to a given base is the power or exponent to which the base must be raised in order to produce that number.(source : Wikipedia).

If x = b y, then y = log b (x), where log means logarithms, y is base of b. Let x, y be two positive real numbers and x≠1. The real number p such that xp =y is called logarithm of y to the base x. It is represented by logx y.

Non-negative real numbers are normally denoted by using Logarithms.

Solving Logarithms Problems:

In general or on mathematical induction, let X be a finite cyclic group with n elements. Let b be a generator of X; then every element g of X can be written as x = bk for some integer k. Furthermore, any two such integer’s k1 and k2, representing x will be congruent modulo n. We can thus define a function

logb: Xà-->Zn, where Zn represents the ring of integers to each g the congruence class of k modulo n.

I hope you liked reading this. May be in the next session let me help you on mathematical reasoning

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