log8^9.log27^32+lg25+lg2.lg50+lg2.lg2
问题描述:
log8^9.log27^32+lg25+lg2.lg50+lg2.lg2
答
log8^9.log27^32+lg25+lg2.lg50+lg2.lg2 换底公式=(2lg3/3lg2)*(5lg2/3lg3)+2lg5+lg2(1+lg5)+lg2*lg2=10/9+2lg5+lg2+lg2lg5+lg2*lg2=10/9+2lg5+lg2+lg2(lg5+lg2)=10/9+2lg5+2lg2=10/9+2(lg5+lg2)=10/9+2=28/9请参考...