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If 2log3 y + log3 x2 = 4, then y is

If 2log3 y + log3 x2 = 4, then y is
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  • A 4 - log3
  • B \(\frac{4}{log_3 x}\)
  • C \(\frac{4}{x}\)
  • D \(\pm\) \(\frac{9}{x}\)
Correct Answer: Option D
Explanation:
2log3y + log3x2 = 4
log3y2 + log3x2 = 4
∴ log3 (x2y2) = log381(correct all to base 4)
x2y2 = 81
∴ xy = \(\pm\)9
∴ y = \(\pm\)\(\frac{9}{x}\)

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