Transcription of Properties of Exponents and Logarithms
1 Prop ertiesofExp onentsandLogarithmsExp onentsLetaandbb erealnumb ersandmandnb ertiesofexp onentshold,providedthatalloftheexpressio nsapp earinginaparticularequationarede +n2.(am)n=amn3.(ab)m= n,a6=05. ab m=ambm,b6= m=1am,a6= ,a6= npa mwheremandnareintegersinprop nition:y=logaxifandonlyifx=ay,wherea> ,logarithmsareexp : logxalwaysreferstologbase10, ,logx=log10x. lnxiscalledthenaturallogarithmandisusedt orepresentlogex,wheretheirrationalnumb ere 2 ,lnx=yifandonlyifey=x. :logba= ertiesofLogarithms(Recallthatlogsareonly de nedforp ositivevaluesofx.) + + ,foralla> 1= ,foralla>01