Q63 / 160 · WBJEE 2010 · Mathematics

The value of $\frac{\log _3 5 \times \log _{25} 27 \times \log _{49} 7}{\log _{81} 3}$ is

  • A
    1
  • B
    6
  • C
    $\frac{2}{3}$
  • Correct answer
    D
    3

Solution

Hints: $\frac{\left(\frac{\log 5}{\log 3} \times \frac{3 \log 3}{2 \log 5} \times \frac{\log 7}{2 \log 7}\right)}{\left(\frac{\log 3}{4 \log 3}\right)}=3$

Hence, the correct answer is option: 'D'.

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