【急】求数学题详细解答过程21lg20/3-lg7+21lg3+lg7/4(lg5)^2+lg2*lg5+lg2

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【急】求数学题详细解答过程21lg20/3-lg7+21lg3+lg7/4(lg5)^2+lg2*lg5+lg2
【急】求数学题详细解答过程
21lg20/3-lg7+21lg3+lg7/4
(lg5)^2+lg2*lg5+lg2

【急】求数学题详细解答过程21lg20/3-lg7+21lg3+lg7/4(lg5)^2+lg2*lg5+lg2
1.原式=21(lg20/3+lg3)- lg7 + lg7 - lg4
=21lg20-2lg2
=21(2lg2+lg5)-2lg2
=21(lg2+lg5)+21lg2-2lg2
=21+19lg2
2.原式=lg5(lg5+lg2)+lg2
=lg5+lg2
=1

21 lg20/3 - lg7 + 21 lg3 + lg7/4
=21 lg20-21 lg3-lg7 + 21 lg3 + lg7-lg4
=21 lg10×2-lg2^2
=21(lg10 + lg2)-2 lg2
=21 + 21 lg2-2 lg2
=21 + 19 lg2
(lg5)^2 + lg2 * lg5 + lg2
=lg5 *(lg5 + lg2)+ lg2
=lg5 * lg10 + lg2
=lg5 + lg2=lg10
=1

都对