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If (25)x - 1 = 64(\(\frac{5}{2}\))6, then x has the value

If (25)x - 1 = 64(\(\frac{5}{2}\))6, then x has the value
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  • A 7
  • B 4
  • C 32
  • D 64
  • E 5
Correct Answer: Option B
Explanation:
(25)x - 1 = 64(\(\frac{5}{2}\))6
(\(\frac{5}{2}\))6 = (\(\frac{5^6}{64}\))
25x - 1 = 64 x (\(\frac{5^6}{64}\))
52x - 2 = 56
2x - 2 = 6x
= \(\frac{8}{2}\)
= 4

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