已知log3 2=a,则log6根号24等于?
问题描述：
已知log3 2=a,则log6根号24等于?
答
log6根号24
=log6 24^(1/2)
=(1/2)[log6 (6*2²)]
=(1/2)[1+2log6 2]
=(1/2)+log6 2
=(1/2)+log3 2/log3 (2*3)
=(1/2)+log3 2/(1+log3 2)
=1/2+a/(a+1)
=(3a+1)/(2a+2)