Correct Answer: Option B

Explanation

(25)\(^{x - 1}\) = 64(\(\frac{5}{2}\))\(^6\)

(\(\frac{5}{2}\))\(^6\) = (\(\frac{5^6}{64}\))

25\(^{x - 1}\) = 64 x (\(\frac{5^6}{64}\))

5\(^{2x - 2}\) = 5\(^6\)

2x - 2 = 6

= \(\frac{8}{2}\)

= 4

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