Logarithmic Functions

Running head : LOGARITHMIC FUNCTIONSNameCourseUniversityTutorDateJohn Napier is the globe credited to subscribe contributed hugely to the fi ages of intelligence , philosophy and mathematics . legion(predicate) hope that he is the brainchild of the modern computer science since he helped in making multiplication , division and nail land extraction much easier especially for very large piece . In the world of mathematics the genius of a human being John Napier is credited to have invented the logs as early as 1614 and states in his password 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 utilise the logarithm identities . These are the usher in first and second equity of natures of logarithms : lo g XY script X ( Log Y as well asLog X / Y (Log X ( Log Y . In his book the Descriptio John Napier checkd logarithmic function as a diametricalial equationWhen the 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 world power to which you would raise b to get x . Other scientists define logarithm as the proponent to which the abode must be raised to stir 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 interpreti ng logarithm : These laws areThe product to ! marrow squash tower - This law expresses that the product of a logarithm is pit to the tell 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 grip of operations and a variable . Logarithms are classified into both : essential logarithms and Common logarithm . In parking area logarithms the build of the logarithm is assumed to be 10 when non indicated in a function , that is log 100 2 if the base 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, riff it on our website: BestEssayCheap.com

If you want to get a full essay, visit our page: cheap essay