1.(lg5)2次方+lg2*lg50
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解决时间 2021-03-17 05:02
- 提问者网友:龅牙恐龙妹
- 2021-03-17 00:01
1.(lg5)2次方+lg2*lg50
最佳答案
- 五星知识达人网友:青尢
- 2021-03-17 00:16
1.(lg5)2次方+lg2*lg50
(lg5)²+lg2*lg50
=(lg5)²+lg2x(lg5*5*2)
=(lg5)²+lg2x(lg5+lg5+lg2)
=(lg5)²+2lg2lg5+(lg2)²
=(lg5+lg2)²
=(lg10)²
=1²
=1
(lg5)²+lg2*lg50
=(lg5)²+lg2x(lg5*5*2)
=(lg5)²+lg2x(lg5+lg5+lg2)
=(lg5)²+2lg2lg5+(lg2)²
=(lg5+lg2)²
=(lg10)²
=1²
=1
全部回答
- 1楼网友:平生事
- 2021-03-17 01:10
lg2+lg5=lg(2*5)=lg10=1
lg2*lg50=lg2*lg(5*10)=lg2*(lg5+lg10)=lg2*lg5+lg2
(lg5)^2+lg2*lg5+lg2=lg5*(lg2+lg5)+lg2=lg5+lg2=1
lg2*lg50=lg2*lg(5*10)=lg2*(lg5+lg10)=lg2*lg5+lg2
(lg5)^2+lg2*lg5+lg2=lg5*(lg2+lg5)+lg2=lg5+lg2=1
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