lg5+lg5lg2+lg2lg2

来源：学生作业帮助网编辑：作业帮时间：2024/05/02 13:57:42

lg5+lg5*lg2+lg2*lg2
lg5+lg5*lg2+lg2*lg2

lg5+lg5*lg2+lg2*lg2
lg5+lg2*lg5+(lg2)^2
=(lg2)^2+lg2lg5+lg5
=lg2(lg2+lg5)+lg5
=lg2*1+lg5
=lg5+lg2
=lg10
=1

lg5+lg5*lg2+lg2*lg2
=lg5+lg2(lg5+lg2)
=lg5+lg2*lg(5x2)
=lg5+lg2lg10
=lg5+lg2
=lg(5x2)
=lg10
=1

因为lg5+lg2=lg10=1
lg5+lg5*lg2+lg2*lg2
=lg5+lg2(lg5+lg2)
=lg5+lg2
=1

答案：1
方法：lg5+lg5*lg2+lg2*lg2=lg5+lg2（lg5+lg2）=lg5+lg2=1

lg5+lg5*lg2+lg2*lg2 lg2*lg2+lg5-lg2=? lg2*lg2+lg20*lg5=? lg2(lg5-lg2)-lg5(lg5+3lg2)等于化简lg5的平方+lg5×lg2+lg2 (lg2)^3+(lg5)^3+3*lg2*lg5 (lg2)³+(lg5)³+3lg2×lg5 lg2*lg50+lg5*lg20-2lg5*lg2 2lg2（lg2+lg5)+2lg5得数（lg5）²+lg2×lg5+lg2 (lg2)^2+lg2*lg5+(lg5)^2= 数学题(lg2)平方+lg5*lg2+lg5 (lg5)平方+2*lg5*lg2+(lg2)平方 lg2(1+lg5)+(lg5)^2 计算：(lg5)^2 +lg2 *lg5 (lg5)^2+lg5.lg2= lg5*lg20+(lg2)^ (lg2)^2+lg5*lg20