(log2(5)+log4(125))(log3(2)/log√3(5))怎么解?
题目
(log2(5)+log4(125))(log3(2)/log√3(5))怎么解?
答案
(log2(5)+log4(125))(log3(2)/log√3(5))
=(log2(5)+3/2 log2(5))(2log3(2)/log3(5))
=5/2 log2(5)*2log5(2)
=5 log2(5)*1/log2(5)
=5
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