log2 3×log3 2-log2 更号2

问题描述:

log2 3×log3 2-log2 更号2

利用换底公式:loga b=lgb/lga
log2 3×log3 2-log2 根号2
=(lg3/lg2)×(lg2/lg3)-log2 2^(1/2)
=1-1/2*log2 2
=1-1/2
=1/2