6.3 Logarithms and Logarithmic Functions

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6.3LogarithmsandLogarithmicFunctionsDoNow:Solveforx

1) 2" = 8 2)5" = 25 3)2" = 6Logarithms:'()*+ = ,./01" = +

Example1:RewritingLogarithmicEquationsRewriteeachequationinexponentialform

Example2:RewriteExponentialEquationsRewriteeachequationinlogarithmicform.

Example3:EvaluatingLogarithmicExpressionsEvaluateeachlogarithm

CommonLogarithms:alogarithmwithbase10('()34(56789log)NaturalLogarithms:alogarithmwithbasee.('()>(56789'/)Example4:EvaluatingCommonandNaturalLogarithmsEvaluate(a)log8and(b)ln0.3usingacalculator.Roundyouranswertothreedecimalplaces.Workwithapartner:

Example5:UsingInversePropertiesSimplify(a)10ABC Dand(b)'()E25"

Example6:FindingInverseFunctionsFindtheinverseofeachfunction.

a) F , = 6" b)+ = ln(, + 3)Workwithapartner:

Homework5-23odd,26,34,35-53odd,67

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