Question

The value of the function ${\log }_{3}5\times {\log }_{25}9$ is equal to

• A. $0$
• B. $1$
• C. $2$
• D. $4$

Answer 1

The correct option is B $1$

${\log }_{3}5\times {\log }_{25}9=\frac{\log 5}{\log 3}\times \frac{\log 3^2}{\log 5^2}$
$=\frac{\log 5}{\log 3}\times \frac{2\log 3}{2\log 5}$
$=1$