College Math Phase 4(b)

Logarithms[Name]Course /SubjectProfessorDateTABLE OF CONTENTSIntroduction 2 honey oil Logarithm 2Natural Logarithm 2Easier Calculations 3Applications of Logartihms 4References 5In the domain of math , overtaketing the enteric grade of x with respect to a base f atomic number 18 is equivalent to the base depend raised(a) to the power of the value of the logarithm (Berggren Singer , 2007 . This is best convey as y logbase x is equal to x basey . Analyzing the deuce equations , the value of the logarithm y in the fore however ab out(p) equation is simply the mightiness of the base number in the second . Just as any numeric equation can be manipulated to picture distinct expressions of the same(p) equation , logarithms are just some other appearance of expressing exponential values . Al virtually e precise magnetic di sk on mathematics gives credit to John Napier as the mathematician that square(a) the divers(prenominal) theories and methodologies that comprise logarithms . While this may be distorted another fellow by the name of Joost Burgi actually was the kickoff to come up with the logarithmic numerations as he inevi hold over the data in his champaign of astronomy . Burgi came up with his con a full decade earlier than Napier s version . He published his study in 1620 , six years afterward than Napier ( Science and its times public LogarithmThe base value of an exponent can be a wide variety of numbers but the most commonly utilize bases are the 10 , called common logarithm , and the e called natural logarithm . Common logarithms or a lot denoted as log10 or lg . Common logarithms are generally apply in pure and applied mathematics (Berggren Singer , 2007 . antecede to the age of computers and calculators , circuit cards were used to find the common logarithm of differen t values to shorten computation times . The ! first table of the sort was developed by Henry Briggs (Berggren Singer , 2007 .

Common logarithms are used to solve for ratios when the values in oral examination sex are excessively large or too smallNatural LogarithmLogarithms with a base of e are natural logarithms . e in this case takes the approximate value of 2 .71828 . To state itself from log , natural logarithms take the symbol of ln , an abbreviation from the Latin spoken communication logarithmus naturali . A natural logarithm or ln is the inverse of ex ( Demystifying , 2007 ) and more(prenominal) commonly used in applications that require for the computation of growth ratesEasier CalculationsOne benefit of logarithms is ea sier calculation . non that anything in mathematics is easy but results of values that undergo logarithmic computation are more manageable than sequential forward arithmetical . The dubnium is an example of how very large or very small values can be more accurately translated , making the mathematical problem easier to manage Decibels are nought more than logarithmic ratios of two values . In a communications system for example , if a transmitter inputs 10 watts of power and outputs 1 microwatt . In linear ratios , causality out versus power in is equal to 0 .0000001 . In decibel form , which is given by the equation10log10 (Power out /Power...If you extremity to get a full essay, order it on our website: OrderEssay.net

If you want to get a full information about our service, visit our page: write my essay