6.3 Logarithms and Logarithmic Functions
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6.3 Logarithms and Logarithmic Functions Do Now: Solve for x 1) 2 " =8 2) 5 " = 25 3) 2 " =6 Logarithms: '() * + = , ./0 1 " =+ Example 1: Rewriting Logarithmic Equations Rewrite each equation in exponential form Example 2: Rewrite Exponential Equations Rewrite each equation in logarithmic form. Example 3: Evaluating Logarithmic Expressions Evaluate each logarithm
Transcript of 6.3 Logarithms and Logarithmic Functions
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
