Question

Greatest integer less than or equal to the number ${\log }_2(15)\cdot {\log }_{\frac{1}{6}}(2)\cdot {\log }_3\left(\frac{1}{6}\right)$ is

• A. 4
• B. 3
• C. 2
• D. 1

Answer 1

Answer: (C)

$E=\frac{\log 15}{\log 2}\cdot \frac{\log 2}{-\log 6}\cdot \frac{-\log 6}{\log 3}={\log }_{3}15$
$[E]=2$