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8.3 logs

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

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1 Objectives circle6 Understand the uses for logarithms and apply them to earthquake and pH problems circle6 Write expressions in logarithmic form circle6 Evaluate logarithms circle6 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 circle6 If you think of functions as tools, we need tools that can undo each other, like a stapler and a staple remover ring2 Ex: quadratic and square root function circle6 Logarithms are the inverses of exponential functions. circle6 They are also compressors and can be used to make huge numbers more manageable. (The difference between 100 and 100million) The Richter Scale circle6 The Richter Scale is the perfect example of logarithms at work circle6 Moving one unit to the right on the Richter Scale releases about 30 times as much energy Comparing seismic energy circle6 The earthquake in Haiti this year registered a 7.0 on the Richter Scale. In 1960, an earthquake of 9.5 shook Chile.

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