Real Life Application of Logarithms

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Real Life Application of Logarithms Chua Cong Yang 3S2’03

Content Definition Examples History Logarithm Identities Real Life application of logarithms to different fields Chemistry Quantifying Decibels Richter scale Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

Definition The logarithm of a number y with respect to base b is the exponent to which b has to be raised in order to yield y For example: b x= y Can be expressed as: logb y= x Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

Examples Some examples on logarithms: 103 = 1000 Can be expressed as: Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

History Logarithms was first introduced by John Napier in the early 17th century as a method to simplify calculations and large indices. However, logarithms has been rapidly developed and used in many fields of science now. Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

History Before the invention of calculators, math has to be done by hand. The invention of logarithms has simplified the common expressions of addition, subtraction, power and root Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

History In addition, logarithms continues to be used in our lives today. The volume of music is based on the logarithmic scale, the magnitude of an earthquake is also based on a logarithmic scale. Logarithm is widely applied in our lives. Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

Logarithm Identities Identities Product Law Change of Base Quotient Power Law Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

Power Law Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

References Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

References Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

References Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

References Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

References Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

References Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

References Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

References Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

References Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

References Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

References- Pictures http://www.daviddarling.info/images/Napier.jpg http://s3.amazonaws.com/pixmac-preview/math-and-science-symbols-background.jpg http://upload.wikimedia.org/wikipedia/commons/thumb/f/f9/LinLinScale.png/600px-LinLinScale.png Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.

References -Text http://wiki.answers.com/Q/How_can_logarithms_relate_to_everyday_living http://en.wikipedia.org/wiki/Logarithm#Definition http://wiki.answers.com/Q/An_example_how_logarithms_are_used_to_explain_a_real_life_occurance http://www.uiowa.edu/~examserv/mathmatters/tutorial_quiz/log_exp/realworldappslogarithm.html Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.