Question

Solve: ${\log }_{2}3{\log }_{5}25{\log }_{3}10{\log }_{10}2$.

• A. ${\log }_{5}5$
• B. ${\log }_{5}25$
• C. ${\log }_{2}9$
• D. ${\log }_{5}1$

Answer 1

Answer: (B)

${\log }_{2}3{\log }_{5}25{\log }_{3}10{\log }_{10}2$
$=\frac{\log 3}{\log 2}\times \frac{2\log 5}{\log 5}\times \frac{\log 10}{\log 3}\times \frac{\log 2}{\log 10}$
$=2$
$={\log }_{5}25$