计算?（log 2^5+log4^125）(log5^4+log25^64)_数学解答

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

人气：406 ℃　时间：2020-05-25 14:24:16

解答

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