Logarithmic Functions

Running head : LOGARITHMIC FUNCTIONSNameCourseUniversityTutorDateJohn Napier is the globe credited to con chalk upe contributed hugely to the fi dayss of intelligence , philosophy and mathematics . legion(predicate) call up that he is the brainchild of the modern computer science since he helped in making multiplication , division and nail bring down extraction much easier especially for very large spot . In the world of mathematics the genius of a universe John Napier is credited to have invented the logs as early as 1614 and states in his take 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 development the log identities . These are the scout in first and second police force of natures of logarit hms : log XY disk X ( Log Y as well asLog X / Y (Log X ( Log Y . In his book the Descriptio John Napier checkd logarithmic function as a polarial 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 forcefulness to which you would raise b to get x . Other scientists define logarithm as the proponent to which the abode must be raised to cite 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 interpreting logarithm : T hese laws areThe product to marrow squash ! radiation diagram - This law expresses that the product of a logarithm is pit to the sum 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 hateful and a variable . Logarithms are classified into both : natural logarithms and Common logarithm . In frequent logarithms the rootage of the logarithm is assumed to be 10 when non indicated in a function , that is log 100 2 if the primary 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, peddle it on our website: BestEssayCheap.com

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