计算?（log 2^5+log4^125）(log5^4+log25^64)

分类: 作业答案 • 2021-12-28 15:26:27

问题描述：

答

=(log2(5)+(3/2)log2(5))(2log5(2)+3log5(2))
=(5/2)log2(5)*5log5(2)
=(25/2)(lg5/lg2)*(lg2/lg5)
=25/2