Discussion
If \((\frac{a}{b})^{x-1}=(\frac{b}{a})^{x-3}\), then the value of \(x\) is:
Answer: C
Given \((\frac{a}{b})^{x-1}=(\frac{b}{a})^{x-3}\)
\(\Rightarrow (\frac{a}{b})^{x-1}=(\frac{a}{b})^{-(x-3)}=(\frac{a}{b})^{(3-x)} \)
\(\Rightarrow x-1=3-x \)
\(\Rightarrow 2x=4 \)
\(\Rightarrow x=2\)
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