作业帮2lg(5/3)-lg(7/4)+2lg3+(1/2)lg49
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/10 09:31:40
2lg(5/3)-lg(7/4)+2lg3+(1/2)lg49
(lg2)^2+lg2lg5+lg50
lg(5^2)+2/3lg8+lg5lg20+(lg2)^2
(lg2)^2+lg2lg5+lg50
lg(5^2)+2/3lg8+lg5lg20+(lg2)^2
2lg(5/3)-lg(7/4)+2lg3+(1/2)lg49
=lg(25/9)+lg9-(lg(7/4)-lg7)
=lg25-lg(1/4)
=lg(25*4)
=lg100
=2.
(lg2)^2+lg2lg5+lg50
=(lg2)^2+lg2lg5+lg5+lg10
=(lg2)^2+lg2lg5+lg5+1.
=lg2*(lg2+lg5)+lg5+1
=lg2+lg5+1
=lg(2*5)+1
=2.
lg(5^2)+2/3lg8+lg5lg20+(lg2)^2
=2lg5+2lg2+lg5lg20+(lg2)^2
=2(lg5+lg2)+lg5*(lg5+lg4)+(lg2)^2
=2+(lg5)^2+2lg2lg5+(lg2)^2
=2+(lg5)^2+lg2*(lg25+lg2)
=2+(lg5)^2+lg2*lg5+lg2
=2+lg5*(lg2+lg5)+lg2
=2+lg5+lg2
=2+lg(5*2)
=3.
=lg(25/9)+lg9-(lg(7/4)-lg7)
=lg25-lg(1/4)
=lg(25*4)
=lg100
=2.
(lg2)^2+lg2lg5+lg50
=(lg2)^2+lg2lg5+lg5+lg10
=(lg2)^2+lg2lg5+lg5+1.
=lg2*(lg2+lg5)+lg5+1
=lg2+lg5+1
=lg(2*5)+1
=2.
lg(5^2)+2/3lg8+lg5lg20+(lg2)^2
=2lg5+2lg2+lg5lg20+(lg2)^2
=2(lg5+lg2)+lg5*(lg5+lg4)+(lg2)^2
=2+(lg5)^2+2lg2lg5+(lg2)^2
=2+(lg5)^2+lg2*(lg25+lg2)
=2+(lg5)^2+lg2*lg5+lg2
=2+lg5*(lg2+lg5)+lg2
=2+lg5+lg2
=2+lg(5*2)
=3.
2lg(5/3)-lg(7/4)+2lg3+(1/2)lg49
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