log2 3=a,则log8 √3=________数学解答

log2 3=a,则log8 √3=_______

人气：395 ℃　时间：2020-05-13 22:25:25

解答

log2(3)=lg3/lg2
log8(√3)=lg√3/lg8
=lg3^(1/2)/lg2^3
=(1/2)lg3/(3lg2)
=(1/6)log3/log2=a/6
lg为常用对数