1.lg²5+lg2×lg5+lg2 2.(lg2)³ +(lg 5)³ +3lg 2×lg 5 3.7 的lg20次方×4.lg500+lg8/5-1/2lg64+50(lg2+lg5)²1.lg²5+lg2×lg5+lg2 2.(lg2)³ +(lg 5)³ +3lg 2×lg 53.7 的lg20次方×(1/2)的lg0.7次方
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/05 15:15:31
![1.lg²5+lg2×lg5+lg2 2.(lg2)³ +(lg 5)³ +3lg 2×lg 5 3.7 的lg20次方×4.lg500+lg8/5-1/2lg64+50(lg2+lg5)²1.lg²5+lg2×lg5+lg2 2.(lg2)³ +(lg 5)³ +3lg 2×lg 53.7 的lg20次方×(1/2)的lg0.7次方](/uploads/image/z/4483829-29-9.jpg?t=1.lg%26sup2%3B5%2Blg2%C3%97lg5%2Blg2+2.%EF%BC%88lg2%EF%BC%89%26sup3%3B+%2B%EF%BC%88lg+5%EF%BC%89%26sup3%3B+%2B3lg+2%C3%97lg+5+3.7+%E7%9A%84lg20%E6%AC%A1%E6%96%B9%C3%974.lg500%2Blg8%2F5-1%2F2lg64%2B50%28lg2%2Blg5%29%26sup2%3B1.lg%26sup2%3B5%2Blg2%C3%97lg5%2Blg2+2.%EF%BC%88lg2%EF%BC%89%26sup3%3B+%2B%EF%BC%88lg+5%EF%BC%89%26sup3%3B+%2B3lg+2%C3%97lg+53.7+%E7%9A%84lg20%E6%AC%A1%E6%96%B9%C3%97%281%2F2%29%E7%9A%84lg0.7%E6%AC%A1%E6%96%B9)
1.lg²5+lg2×lg5+lg2 2.(lg2)³ +(lg 5)³ +3lg 2×lg 5 3.7 的lg20次方×4.lg500+lg8/5-1/2lg64+50(lg2+lg5)²1.lg²5+lg2×lg5+lg2 2.(lg2)³ +(lg 5)³ +3lg 2×lg 53.7 的lg20次方×(1/2)的lg0.7次方
1.lg²5+lg2×lg5+lg2 2.(lg2)³ +(lg 5)³ +3lg 2×lg 5 3.7 的lg20次方×
4.lg500+lg8/5-1/2lg64+50(lg2+lg5)²
1.lg²5+lg2×lg5+lg2
2.(lg2)³ +(lg 5)³ +3lg 2×lg 5
3.7 的lg20次方×(1/2)的lg0.7次方
1.lg²5+lg2×lg5+lg2 2.(lg2)³ +(lg 5)³ +3lg 2×lg 5 3.7 的lg20次方×4.lg500+lg8/5-1/2lg64+50(lg2+lg5)²1.lg²5+lg2×lg5+lg2 2.(lg2)³ +(lg 5)³ +3lg 2×lg 53.7 的lg20次方×(1/2)的lg0.7次方
1.lg²5+lg2×lg5+lg2
=lg5(lg5+lg2)+lg2
=lg5*lg(5*2)+lg2
=lg5+lg2
=1
2.(lg2)³ +(lg 5)³ +3lg 2×lg 5
=(lg2+lg5)(lg²2-lg2*lg5+lg²5)+3lg 2×lg 5
=lg²2+2lg2*lg5+lg²5
=(lg2+lg5)²
=1
3.7 的lg20次方×(1/2)的lg0.7次方
=7 的(lg2*10)次方×(1/2)的(lg7*0.1)次方
=7 ^(1+lg2)×(1/2)^(-1+lg7)
=7*2*7^lg2*(1/2)^lg7
=14*7^lg2/2^lg7
4.lg500+lg8/5-1/2lg64+50(lg2+lg5)²
=lg500+lg8/5-lg8+50
=lg(500*8/5/8)+50
=lg100+50
=52