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...Soc b cheat sheet on logs and exponentials uc irvine prof andrew noymer note that means is dened as or exactly the same whereas isequal to basic denitions exp x ex where e thelogarithm inverse of log andtheexponential manipulation rules a ab nofurther critical values lim limlog graphs more in depth mathematics for r if are inverses each other isn t circular rea soning yes there an alternative denition logarithm provides wayoutofthe chicken andegg problem z dt andnotealso n full treatment intricacies here way beyond present scope see any goodcalculus textbook also monotone transformation argmaxf argmaxlog number special pops up wide variety places it intimately related concept percentage change suppose population growing at some growth rate say per annum how long will take this double exponential gives us answer p pexp rt future current we have stipulated denotes many units time into wish go since must be years i prefer notation over because nd harder read pe but two equations now ifwew...