若loga(3)=2,logb(3)=4,则log(ab)(3)=

问题描述:

若loga(3)=2,logb(3)=4,则log(ab)(3)=

loga(3)=2=lg3/lga ,logb(3)=4=lg3/lgb
log(ab)(3)=lg3/(lga+lgb)
=lg3/0.5lg3+0.25lg3=4/3