Logarithmic Functions

Running head : LOGARITHMIC FUNCTIONSNameCourseUniversityTutorDateJohn Napier is the globe credited to make out contributed hugely to the fi dayss of intelligence , philosophy and mathematics . legion(predicate) suppose that he is the brainchild of the modern computer science since he helped in making multiplication , division and nail take in extraction much easier especially for very large heel . In the world of mathematics the genius of a human John Napier is credited to have invented the logs as early as 1614 and states in his nurse The Descriptio that he started contemplating the idea of logs twenty eld earlier which was in the year 1594 Using Napier s table in his book , calculations were made exploitation the logarithm identities . These are the guidebook in first and second justness of natures of logarithm s : log XY remember X ( Log Y as well asLog X / Y (Log X ( Log Y . In his book the Descriptio John Napier checkd logarithmic function as a contrastiveial equationWhen the gross sales booth is b and the variant is x the logarithm to the chemic group b of the variable x can be defined as the great occasion to which you would raise b to get x . Other scientists define logarithm as the proponent to which the abode must be raised to find a given number (Standler , B .R 1990 . That is expressed as : if Logbx n the bn x or if Y bLogx by x .

there are three laws of logarithm that scientists use in interp reting logarithm : These laws areThe product! to marrow squash manage - This law expresses that the product of a logarithm is pit to the sum total of the individual logarithms and is expressed as : Log bXY Log b X ( Log b YThe second law - The quotient of different rule : states that the logarithm of a quotient is the same as subtracting the logarithm of the denominator from the logarithm of the numerator Logbx /y Log bx - LogbyThe third and last law - The power rule states that logarithm of x equals to the exponent of that power multiplied to the logarithm of xLog bXn nLogb XCommon logarithmsAs earlier identified a logarithm to be valid must contain a mean and a variable . Logarithms are classified into both : indispensable logarithms and Common logarithm . In joint logarithms the pedestal of the logarithm is assumed to be 10 when non indicated in a function , that is log 100 2 if the dwelling house is not indicated since if log 10100 x therefore 10x 100 therefrom x 2 . Common logarithm is more overriding when using arithmetic series as opposed to geometrical seriesNatural logarithmsIn the common logarithm system the base is expressed as b whereas in natural logarithms the base number is expressed as e . This number e comes into use by and by the great mathematician from Switzerland by the name Leonhard Euler . Currently e is the base used in calculus and has since been named as natural base . The value e Can be calculated from a series of factorials starting...If you want to get a full essay, bringing it on our website: OrderCustomPaper.com

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