log(√2)√2/2+(1/2)^[log₂(1/4)
=log(√2)(1/√2)+2^[-log₂(1/4)]
=log(√2)(√2)^(-1) +2^[log₂4]
=-1+4
=3


应用的知识
√2/2=(√2)^(-1)

根据对数恒等式
2^(log₂4)=4