lg^32+lg^35+3log2*log5求详细过程,谢谢

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lg^32+lg^35+3log2*log5求详细过程,谢谢

lg^32+lg^35+3log2*log5求详细过程,谢谢
lg^32+lg^35+3log2*log5
求详细过程,谢谢

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