Monday, May 13, 2019
College mathmatices Essay Example | Topics and Well Written Essays - 750 words
College mathmatices - Essay ExampleThe value of 10 is used as a travelling bag because mathematicians have found that logarithms having a base of 10 were more useful for computations and they possessed umpteen advantages that were not obtained in other bases. Common logarithms be denoted as log10(x) and even if thither is no base written it should be assumed that the base is 10. If the base is other than 10 then it must be specified by the use of a subscript. On the other hand Natural logarithms use e as a base, where e is an irrational number whose decimal value is approximately 2.71828182845904. Natural logarithms are also important like common logarithms because of their relationship to e which is used in solving many differential equations in calculus. Natural logarithms are denoted by loge(x) or ln(x).Logarithms have eased up the port of calculation in mathematics. Recall that multiplication is a shortcut for addition and exp ints are shortcut for multiplication, alike logar ithms are shortcut for exponents. John Napier a heavy(p) mathematician will never be forgotten for his great discoveries, formulas, and theories. He once said that I hope my logarithms will save calculators much time and save them from slippery errors of calculations. Laplace said 200 years later said, By shortening the labors, Napier doubled the life of astronomers (as cited in Petersen, n.d.).Logarithms play a crucial role in the field of sciences and engineering. They can help you out whenever there is an exponential component missing in the problem. We can find some(prenominal) applications of logarithms in astronomy, geology, computer science, chemistry, physics, and several other disciplines.In chemistry we have a concept of pH which determines whether the whether a substance is alkaline, neutral, or acidic in nature depending if pH is greater than, equal to, or less than 7 respectively. A substance with a pH of 5 is ten times as acidic as one with a pH of 6 thats why pH sc ale is expressed by a common logarithm. If H+ is the
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