log2-根号3(2+根号3)
问题描述：
log2-根号3(2+根号3)
答
log(2-√3)(2+√3)=lg(2+√3)/lg(2-√3)
= lg(2+√3)/lg(2+√3)/(2-√3)( 2+√3)
= lg(2+√3)/lg(2+√3)/(4-3)
= lg(2+√3)/lg(2+√3)
=1
log2-根号3(2+根号3)
log(2-√3)(2+√3)=lg(2+√3)/lg(2-√3)
= lg(2+√3)/lg(2+√3)/(2-√3)( 2+√3)
= lg(2+√3)/lg(2+√3)/(4-3)
= lg(2+√3)/lg(2+√3)
=1