lg^32+lg^35+3log2*log5
问题描述:
lg^32+lg^35+3log2*log5
求详细过程,谢谢
答
lg³2+lg³5+3lg2lg5
=(lg2+lg5)[(lg2+lg5)²-3lg2lg5]+3lg2lg5
=lg10(lg²10-3lg2lg5)+3lg2lg5
=1-3lg2lg5+3lg2lg5
=1.