lg²2+lg2×lg5+lg5
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/12 14:57:51
![lg²2+lg2×lg5+lg5](/uploads/image/z/801286-70-6.jpg?t=lg%26%23178%3B2%2Blg2%C3%97lg5%2Blg5)
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lg²2+lg2×lg5+lg5
lg²2+lg2×lg5+lg5
lg²2+lg2×lg5+lg5
lg²2+lg2×lg5+lg5
=lg2(lg2+lg5)+lg5
=lg2lg10+lg5
=lg2+lg5
=lg10
=1
lg²2+lg2×lg5+lg5=lg2(lg2+lg5)+lg5=lg2+lg5=1
lg²2+lg2×lg5+lg5
=lg2(lg2+lg5)+lg5
=lg2+lg5
=1
原式=lg2(lg2+lg5)+lg5
=lg2*lg10+lg5
=lg2+lg5
=lg10
=1
lg²2+lg2×lg5+lg5=lg2×lg2+lg2×lg5+lg5=lg2×(lg2+lg5)+lg5=lg2×lg10+lg5=lg2+lg5=1