6.6 solving exponential and logarithmic equations · 2018-04-06 · you are driving on a hot day...
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6.6SolvingExponentialandLogarithmicEquationsExponentialEquations:EquationsinwhichthevariableexpressionoccursasexponentsExample1:SolvingExponentialEquationsSolveeachequation
a) 100# = %%&
#'( b)2# = 7
Example2:SolvingaReal-LifeProblemYouarecookingastew.Whenyoutakethestewoffthestoveitstemperatureis212oF.Theroomtemperatureis70oF,andthecoolingrateofthestewis+ = 0.046.Howlongwillittaketocoolthestewtoaservingtemperatureof100oF?
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
Example5:SolveanExponentialInequalitySolve: 3# < 20Example6:SolvingaLogarithmicInequalitySolve:log 1 ≤ 2Tryonyourown:
Homework:5,7,11,14,17,18,20,21-31odd,33,34,38,47-53odd,63,
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