计算：log222=，2log23+log43=．

Question

计算：log₂ (√(2))/(2)=___，2 log23+log43=___．

Answer 1

log₂(√(2))/(2)=log₂2-(1)/(2)=-(1)/(2)；
2 log23+log43=2 log23+(1)/(2)log23=2 log2(3•3(1)/(2))=3√(3)．
故答案为：-(1)/(2)；3√(3)．