已知log5(根号6+1)+log2(根号2-1)=a,则log5(根号6-1)+log2(根号2+1)=

分类: 作业答案 • 2021-12-31 12:49:37

问题描述：

答

log5(√6+1)+log2(√2-1)+log5(√6-1)+log2(√2+1)
=log5[(√6+1)(√6-1)]+log2[(√2-1)(√2+1)]
=log5(5)+log2(1)
=1
log5(√6-1)+log2(√2+1)=1-a