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,