If \( \Large y = 2^{\frac{1}{logx}\left(8\right)} \), then x is equal to:

A) y

B) \( \Large y^{2} \)

C) \( \Large y^{3} \)

D) none of these

Correct answer:
C) \( \Large y^{3} \)

Description for Correct answer:
\( \Large y = 2^{\frac{1}{log}x \left(8\right) } \)

=> \( \Large y = 2 ^{log 8x} => y = 2^{log 2\sqrt[3]{x}} \)

=> \( \Large x = y^{3} \)

Please provide the error details in above question

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