Correct Answer: Option C

Explanation

2\(^{√2x + 1}\) = 32

2\(^{√2x + 1}\) = 2\(^5\)

√2x + 1 = 5

square both sides

2x + 1 = 5\(^2\)

2x + 1 = 25

2x = 25 - 1

2x = 24

x = \(\frac{24}{2}\)

x = 12

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