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

A.

7

B.

4

C.

32

D.

64

E.

5

View answer & explanation

Correct answer is B

(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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