lg2^5+2lg2xlg5+2(lg2)^2=

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/30 22:10:15

原式=5lg2+2lg2xlg5+2(lg2)^2=lg2（5+2lg5+2lg2）=lg2（5+2（lg5+lg2））=lg2（5+2*lg（5*2））=lg2*（5+2）=7lg2

lg2^2+lg2*lg5+lg5=lg2(lg2+lg5)+lg5 lg^2 5+lg2*lg5+lg2=? (lg2)²+(lg5)²+lg2xlg5=? 2(lg2)2+lg2•lg5+(lg2)2-lg2+1=lg2（2lg lg5^2+2lg2-lg2^2=? (lg2)^2+lg2*lg5+(lg5)^2= (lg2^2+1)(lg2)^2+1=? lg25+lg2*lg50+(lg2)^2+1=? lg5+2lg2+（lg2）=? lg50+lg2*lg5+(lg2)^2= lg2*lg100 =lg25+2lg2 lg5*(1+lg2)+(lg2)^2=