Question

(lg(2)+3^(log3(7)+lg(5))^log2(3)

Answer 1

$(lg2 +3 ^{log _{3}7 }+lg5) ^{log _{2}3 } =(lg2+lg5+7) ^{log _{2}3 }=(lg10+7) ^{log _{2} 3}=$$=(1+7) ^{log _{2} 3} =8 ^{log _{2}3 } =(2 ^{log _{2}3 }) ^{3}=3 ^{3}=27$