Question

Find the value of ${\log }_{3}5\times {\log }_{25}27$

Answer 1

Now,

${\log }_{3}5\times {\log }_{25}27$

$={\log }_{3}5\times {\log }_{5^2}{3}^3$

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

$=\frac{3}{2}$