Natural and Common Logs Essay Example | Topics and Well Written Essays - 1500 words

Natural and Common Logs - audition ExampleThis problem was solved in 1594 by a Mathematician from Scotland, known as John Napier, who introduced a set of logarithmic numbers. (Nagel, 2002, 2006) Today, they are used in modern scientific methods as well, such as calculations for computer science applications and algorithms. Finding out the efficiency of a certain algorithm, the time it takes to solve accompaniment instructions etc. other than that, for many years, logarithms have been used in physics, chemistry, biology in compute statistical data and values. Logarithms are used in graphical representation of the collected data and throne also be used to forecast a trend based on the hand overn data. In the field of engineering, exponentials can give you a hard time determining correlations between events and factors. In such cases, a logarithm can make the problematic ladder linear and provide a moderately accurate approximation. This makes solving it easy. The graphical repr esentations of logarithmic functions can be much easier to analyze than complex ones and give a better understanding. An model would be of biology, in which the growth of an enzyme is being monitored. Suppose the function provided isConverting a logarithmic function into an exponential function can be done in a unsubdivided way. A logarithmic function is the reflection of an exponential function in the line y = x. ... An example would be of biology, in which the growth of an enzyme is being monitored. Suppose the function provided isY = ln x (9.5), where x is the variable quantity that strains the growth of the enzyme. The graph for it would look like(Zorn, n.d)The graph provides a linear and simple representation, without the use of logarithm, this could be a very problematic function to deal with. Logarithm to ExponentialConverting a logarithmic function into an exponential function can be done in a simple way. A logarithmic function is the reflection of an exponential function in the line y = x. for example, the equation we took above, y = ln x (9.5) would become y = ex(9.5). the graph for the exponential function would look like(Zorn, n.d)Here, we clearly see that some(prenominal) graphs are laterally inverted. ProofY = ln x(9.5)After reflection in the line y = xX(9.5) = lnyNow recall that if ln x = y, past x = e yTherefore if ln y = x, then y = e xso y = ex(9.5)Works Cited1. L. Bostock, S. C. (1990, 1994, 2000). Core Mathematics for Advanced Level. Cheltenham Nelson Thornes.2. Nagel, R. (2002, 2006). Logarithm. Retrieved June 20, 2008, from enotes.com encyclopedia of Science http//www.enotes.com/uxl-science-encyclopedia/logarithm3. Zorn, W. (n.d.). Function Grapher Online. Retrieved June 20, 2008, from walterzorn.com