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If $E = \frac{1}{4} \cdot \frac{2}{6} \cdot \frac{3}{8} \cdot \frac{4}{10} \dots \frac{30}{62} \cdot \frac{31}{64} = 8^{x}$ , then value of $x$ is

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Correct option is D

We haveE=31!231(32!)=1231(32)=1236=2−36=23−12=8−12Thus, x=–12

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If E=14⋅26⋅38⋅410⋯3062⋅3164=8x, then value of x is

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If $E = \frac{1}{4} \cdot \frac{2}{6} \cdot \frac{3}{8} \cdot \frac{4}{10} \dots \frac{30}{62} \cdot \frac{31}{64} = 8^{x}$ , then value of $x$ is