(log3 4+log3 8)(log2 3+log2 9)+(log3 根号2)(log9 7)/(log1/3 7)(log三次根号4 8)
问题描述:
(log3 4+log3 8)(log2 3+log2 9)+(log3 根号2)(log9 7)/(log1/3 7)(log三次根号4 8)
答
(log3 4+log3 8)(log2 3+log2 9)+(log3 根号2)(log9 7)/[(log1/3 7)(log三次根号4 8)]
=(5lg3 2)(3lg3 2)+[9(lg2 3)(lg3 7)/4]/[9(-lg3 7)]
=15 - (lg2 3)/4