Download pdf - 6.6 Solving Exponential and Logarithmic Equations · 2018-04-06 · You are driving on a hot day when your car overheats and stops running. The car overheats at 2800F and can be driven

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Page 1: 6.6 Solving Exponential and Logarithmic Equations · 2018-04-06 · You are driving on a hot day when your car overheats and stops running. The car overheats at 2800F and can be driven

6.6SolvingExponentialandLogarithmicEquationsExponentialEquations:EquationsinwhichthevariableexpressionoccursasexponentsExample1:SolvingExponentialEquationsSolveeachequation

a) 100# = %%&

#'( b)2# = 7

Example2:SolvingaReal-LifeProblemYouarecookingastew.Whenyoutakethestewoffthestoveitstemperatureis212oF.Theroomtemperatureis70oF,andthecoolingrateofthestewis+ = 0.046.Howlongwillittaketocoolthestewtoaservingtemperatureof100oF?

Page 2: 6.6 Solving Exponential and Logarithmic Equations · 2018-04-06 · You are driving on a hot day when your car overheats and stops running. The car overheats at 2800F and can be driven

LogarithmicEquation:Areequationsthatinvolvelogarithmsofvariableexpressions.Example3:SolvingLogarithmicEquationsSolvethefollowingequations

a) ln 41 − 7 = ln 1 + 5 b)log7 51 − 17 = 3

Example4:SolvingaLogarithmicEquationSolvelog 21 + log(1 − 5) = 2Tryonyourown:Solvetheequation.Checkforextraneoussolutions

Page 3: 6.6 Solving Exponential and Logarithmic Equations · 2018-04-06 · You are driving on a hot day when your car overheats and stops running. The car overheats at 2800F and can be driven

Example5:SolveanExponentialInequalitySolve: 3# < 20Example6:SolvingaLogarithmicInequalitySolve:log 1 ≤ 2Tryonyourown:

Homework:5,7,11,14,17,18,20,21-31odd,33,34,38,47-53odd,63,

Page 4: 6.6 Solving Exponential and Logarithmic Equations · 2018-04-06 · You are driving on a hot day when your car overheats and stops running. The car overheats at 2800F and can be driven

Page 5: 6.6 Solving Exponential and Logarithmic Equations · 2018-04-06 · You are driving on a hot day when your car overheats and stops running. The car overheats at 2800F and can be driven

Page 6: 6.6 Solving Exponential and Logarithmic Equations · 2018-04-06 · You are driving on a hot day when your car overheats and stops running. The car overheats at 2800F and can be driven

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