Question

Помогите по алгебре, пожалуйста

Answer 1

a) $log _{12}48+log _{12} 3= log _{12}48*3=log _{12}144= 2$
б) $log _{11} 484-log _{11} 4=log _{11} frac{484}{4} =log _{11}121= 2$
в) $2 ^{log _{2}5 } = 5$
г) $frac{log _{3}125 }{log _{3} 5} = frac{log _{3}5 ^{3} }{log _{3}5 }= frac{3log _{3}5 }{log _{3}5 } = 3$
д) $25 ^{log _{5}(2- sqrt{2}) } +9 ^{log _{3}( sqrt{2}+2) }=25 ^{log _{25}(2- sqrt{2}) ^{2} } +9 ^{log _{9}( sqrt{2} +2) ^{2} } =(2- sqrt{2}) ^{2} +$$( sqrt{2}+2) ^{2}=4-4 sqrt{2} +2+2+4 sqrt{2} +4= 12$