Question

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

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

Answer 1

Answer: (D)

3

Answer 2

$\frac{\left(\frac{\log 5}{\log 3} \times \frac{3 \log 3}{2 \log 5} \times \frac{\log 7}{2 \log 7}\right)}{\left(\frac{\log 3}{4 \log 3}\right)}$
$=3\left[\because \log _{a} b=\frac{\log b}{\log a}\right]$