若log根号3(2)=a 则log12(3)=?_数学解答

若log根号3(2)=a 则log12(3)=?

人气：357 ℃　时间：2020-03-23 15:49:05

解答

log√3(2)=log3(4)=a (同时平方)
log12(3)
=1/[log3(12)]
=1/[log3(3×4)]
=1/[log3(3)+log3(4)]
=1/(1+a)