Задача 1613 Найдите (1-log2 12)(1-log6 12)...

slava191

10.07.2014

Найдите (1-log2 12)(1-log6 12)

(1-log2 12)(1-log6 12)=(log2 2-log2 12)(log6 6-log6 12)=
log2 2/12*log6 6/12=log2 1/6*log6 1/2=log2 6^(-1)*log6 2^(-1) =
= (-1)*log2 6 × (-1)log6 2 = log2 6 × log6 2 = log2 2 = 1

Ответ: 1