(㏒2^125+㏒4^25+㏒8^5)×(㏒5^2+㏒25^4+㏒125^8) 计算我不太会,
问题描述:
(㏒2^125+㏒4^25+㏒8^5)×(㏒5^2+㏒25^4+㏒125^8) 计算我不太会,
答
(㏒2^125+㏒4^25+㏒8^5)×(㏒5^2+㏒25^4+㏒125^8)
=(3㏒2^5+2㏒4^5+㏒8^5)×(㏒5^2+㏒25^4+㏒125^8)
=(3lg5/lg2+lg5/lg2+1/3lg5/lg2)×(lg2/lg 5+2lg2/lg2+lg2/lg5)
=13/3lg5/lg2×4lg2/lg5
=52/3