Quantitative Aptitude Simplification Surds and Indices

If \(\rm \left(\frac{a}{b}\right)^{x-1}=\left(\frac{b}{a}\right)^{x-3} \) then x = ?

1
\(\frac{7}{2}\)
2
\(\frac{5}{2}\)
3
2
4
More than one of the above
5
None of the above

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