对数计算:√(lg5)^2 - lg25 +1 [所有内容均在根号下]
问题描述:
对数计算:√(lg5)^2 - lg25 +1 [所有内容均在根号下]
答
√[(lg5)^2 - lg25 +1]
=√[(lg5)^2 - 2lg5 +1]
=√(lg5-1)^2
=(1-lg5)
=lg10-lg5
=lg10/5
=lg2
(经hnycxhwfm助理指出错误后改正的,楼主啊,给楼上一个最佳答案吧!)
答
姚建兴算错了:
√[(lg5)^2 - lg25 +1]
=√[(lg5)^2 - 2lg5 +1]
=√(lg5-1)^2
=1- lg5(lg5小于1)
=lg10- lg5
=lg10/5
=lg2