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Logarithmic Functions
Chapter 10, Sections 2 and 3
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What are logarithmic functions?
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Properties of Logarithmic Functions
Continuous One-to-one function The domain is positive The range is all real numbers The y-axis is an asymptote The y-intercept is (0,1)
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Examples Writing in exp form Writing in log form
Evaluating log expressions
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Solving log equations/inequalities
Before trying to solve equations with logs, first convert to exponential form. Then, proceed to solve. Watch out for ( )!!
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Properties of Logs Product property: Quotient property:
Power property:
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Examples Expanding expressions Condensing expressions
Solving equations
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Exit slip – How are logs and exponentials related?
Homework– Page 52 in workbook, 1-36 even Page 53 in workbook, 9-29 odd Exit slip – How are logs and exponentials related?
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