log2 3=a,则log8 √3=_______

问题描述:

log2 3=a,则log8 √3=_______

log2 3=1/3 log8 3
=1/6 log8√3
所以答案为 6a
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log2 3=a,则log8 √3=_______a/6

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