Logarithms and its Real Life Application 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.PresentationFx.com

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: log b y= x Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.PresentationFx.com

Examples Some examples on logarithms: 10 3 = 1000 Can be expressed as: Log = 3 Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.PresentationFx.com

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.PresentationFx.com

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.PresentationFx.com

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.PresentationFx.com

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

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

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

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

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

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

Real Life Applications of Logarithms Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.PresentationFx.comApplications Richter Scale Chemistry Sound

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

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

Sounds

Sounds

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

References- Pictures science-symbols-background.jpghttp://s3.amazonaws.com/pixmac-preview/math-and- science-symbols-background.jpg 9/LinLinScale.png/600px-LinLinScale.pnghttp://upload.wikimedia.org/wikipedia/commons/thumb/f/f 9/LinLinScale.png/600px-LinLinScale.png b88d35d2ca1421b7b.pnghttp://upload.wikimedia.org/math/1/3/e/13e5e0759d863fb b88d35d2ca1421b7b.png Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.PresentationFx.com

References -Text yday_livinghttp://wiki.answers.com/Q/How_can_logarithms_relate_to_ever yday_living sed_to_explain_a_real_life_occurancehttp://wiki.answers.com/Q/An_example_how_logarithms_are_u sed_to_explain_a_real_life_occurance _exp/realworldappslogarithm.htmlhttp:// _exp/realworldappslogarithm.html and-logarithms/ and-logarithms/ Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation.PresentationFx.com