Which of the following is correct?

(1) log(a+2b)=12loga+2b2                       =12loga2+4b2+4ab               =12log(12ab+4ab)=12log24⋅ab                  =12(4log2+loga+logb)(2) Let logxb−c=logyc−a=logza−b=k⇒logx=k(b−c),logy=k(c−a)logz=k(a−b)                xa⋅yb⋅zc=pk[a(b−c))+b(c−a)+c(a−b)]=pk(0)=1(3) Given expression is =logxyzxy+logxyzyz+logxyzzx                                              =logxyz(xy⋅yz⋅zx)=logxyzx2⋅y2⋅z2                   =2logxyz(xyz)=2×1=2