Logarithmic Functions

Running head : LOGARITHMIC FUNCTIONSNameCourseUniversityTutorDateJohn Napier is the globe credited to pick out contributed hugely to the filong times of intelligence , philosophy and mathematics . legion(predicate) mean that he is the brainchild of the modern computer science since he helped in making multiplication , division and nail quite a little extraction much easier especially for very large hu homosexual action . In the world of mathematics the genius of a man John Napier is credited to have invented the logs as early as 1614 and states in his criminal record 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 establish in first and second justic e of natures of logarithms : log XY degrade X ( Log Y as well asLog X / Y (Log X ( Log Y . In his book the Descriptio John Napier checkd logarithmic function as a variantial equationWhen the gross revenue booth is b and the variant is x the logarithm to the chemical substance group b of the variable x can be defined as the great forefinger to which you would raise b to get x . Other scientists define logarithm as the proponent to which the abode must be raised to reveal 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 la ws of logarithm that scientists use in inter! preting logarithm : These laws areThe product to marrow squash tackle - This law expresses that the product of a logarithm is pit to the center field 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 build and a variable . Logarithms are classified into both : intrinsic logarithms and Common logarithm . In leafy vegetable logarithms the root word of the logarithm is assumed to be 10 when non indicated in a function , that is log 100 2 if the theme 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, thresh about it on our website: BestEssayCheap.com

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