If $\big(\large\frac{a}{b}\big)^{x-1}=\big(\large\frac{b}{a}\big)^{x-3}$,then the value of $x$ is _____

Question

$\begin{array}{1 1}(A) \;-1\\(B)\;1 \\(C)\;2 \\(D)\;3 \end{array}$