If y is a negative number such thatthen y equalsa)log2(1/5)b)andndash;log2 (1/3)c)andndash;log2 (1/5)d)log2 (1/3)Correct answer is option 'D'. Can you explain this answer?

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If y is a negative number such that

then y equals

a)
log₂(1/5)
b)
–log₂ (1/3)
c)
–log₂ (1/5)
d)
log₂ (1/3)

Correct answer is option 'D'. Can you explain this answer?

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Test: Logarithm- 2

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If y is a negative number such thatthen y equalsa)log2(1/5)b)–lo...

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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If y is a negative number such thatthen y equalsa)log2(1/5)b)–log2 (1/3)c)–log2 (1/5)d)log2 (1/3)Correct answer is option 'D'. Can you explain this answer?

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