log3 2=a,则log6 根号24等于?
问题描述：
log3 2=a,则log6 根号24等于?
答
（1+3a）/2(1+a)
答
(a+1)分之3a+1
答
log6 根24
=1/2 log6 24
=1/2 log6 (4x6)
=1/2 (log6 4 + log6 6)
=1/2 + 1/2 log 6 4
=1/2 + log6 2
=1/2 + log3 2/log3 (2x3)
=1/2 + (log3 2)/(log3 2 + log3 3)
=1/2 + a/(a+1)
=(2a+1)/(2a+2)
答
log3(2)=a
log6(根号24）=log3(24)/[log3(6)]
=[log3(3)+3log3(2)]/[log3(3)+log3(2)]
=(1+3a)/(1+a）