It is given in Regular left-order in groups that Solvable Baum-Slag Solitar Group $BS(1,n)=\langle a, b\mid aba^{-1}=b^n\rangle $ is isomorphic to $\mathbb{Z}[1/n]\rtimes \mathbb{Z}$ for $n\in \mathbb{Z}.$ Can we find an isomorphism $\phi:\mathbb{Z}[1/n]\rtimes \mathbb{Z}\rightarrow BS(1,n) $ such that if $a<b$ implies $\phi(a)<\phi(b),$ where $\mathbb{Z}[1/n]\rtimes \mathbb{Z}.$