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Explanation:

Given, $2^{{\mathrm{y}}^2{\log }_{3}5}=5^{{\log }_{2}3}$, 

Taking log on both sides (Choosing the base to be 3)

⇒ y² × log₃5 × log₃2 = log₂3 × log₃5

⇒ y² × log₃2 = log₂3

⇒ y² = (log23)²

⇒ y = - log₂3 (∵ y is a negative number)

⇒ y = log₂(1/3)

Hence, option (d).