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Mathematics

log9 27 =

  1. 3

  2. 13\dfrac{1}{3}

  3. 23\dfrac{2}{3}

  4. 32\dfrac{3}{2}

Logarithms

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Answer

Let,

⇒ log9 27 = x

⇒ 27 = 9x

⇒ 33 = (32)x

⇒ 33 = 32x

Equating the exponents,

⇒ 2x = 3

⇒ x = 32\dfrac{3}{2}.

Hence, option 4 is the correct option.

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