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Mathematics

log 27log 9=\dfrac{\log \space 27}{\log \space 9} =

  1. 32\dfrac{3}{2}

  2. 23\dfrac{2}{3}

  3. 3

  4. 2

Logarithms

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Answer

Given,

log 27log 9log 33log 323log 32log 332.\Rightarrow \dfrac{\log \space 27}{\log \space 9} \\[1em] \Rightarrow \dfrac{\log \space 3^3}{\log \space 3^2} \\[1em] \Rightarrow \dfrac{3\log \space 3}{2\log \space 3} \\[1em] \Rightarrow \dfrac{3}{2}.

Hence, option 1 is the correct option.

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