(log6 2+log6 3+ 2^log2 4)log5 7
(log₆ 2+log₆ 3+ 2^log₂4)log₅ 7 =(log₆ (2· 3)+ 4)log₅ 7= (log₆ 6+ 4)log₅ 7= ( 1+ 4)log₅ 7= 5log₅ 7
или , если ошибка в условии
(log₆ 2+log₆ 3+ 2^log₂4)^log₅ 7 =(log₆ (2· 3)+ 4)^log₅ 7= (log₆ 6+ 4)^log₅ 7= ( 1+ 4)^log₅ 7=
5^log₅ 7 = 7
Оцени ответ
