8.3 logs - Objectives Understand the uses for logarithms...

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1 Objectives c Understand the uses for logarithms and apply them to earthquake and pH problems c Write expressions in logarithmic form c Evaluate logarithms c Graph logarithmic functions (we’ll probably leave this until tomorrow) Why do we study logarithms? http://opinionator.blogs.nytimes.com/2010/03/28/power-tools/#more-43171 c If you think of functions as tools, we need tools that can undo each other, like a stapler and a staple remover r Ex: quadratic and square root function c Logarithms are the inverses of exponential functions. c They are also compressors and can be used to make huge numbers more manageable. (The difference between 100 and 100million) The Richter Scale c The Richter Scale is the perfect example of logarithms at work c Moving one unit to the right on the Richter Scale releases about 30 times as much energy Comparing seismic energy c The earthquake in Haiti this year registered a 7.0 on the Richter Scale. In 1960, an earthquake of 9.5 shook Chile. Compare the amounts of energy released
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8.3 logs - Objectives Understand the uses for logarithms...

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