If y is a negative number such that 2y2log35=5log23, then y equals
Explanation:
Given, 2y2log35=5log23,
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).
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