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(log43+log83)(log32+log92)-log1/2(32)1/4的值4,8,3,9,1/2是底数,1/4是次方,

题目详情
(log43+log83)(log32+log92)-log1/2(32)1/4 的值
4,8,3,9,1/2是底数,1/4是次方,
▼优质解答
答案和解析
log43+log83)(log32+log92)-log(1/2)32^(1/4)
=(lg3/2lg2+;lg3/3lg2)(lg2/lg3+lg2/2lg3)-1/4[lg(2^5)]/(-lg2)
=lg3/lg2(1/2+1/3)(lg2/lg3(1+1/2)-5/4[lg(2)]/(-lg2)
=5/6x3/2+5/4
=5/2