Question

These are numeric entry type questions.
${\log }_{3\sqrt{3}}\sqrt{729}=$_____

Answer 1

Answer: 2

${\log }_{3\sqrt{3}}\sqrt{729}={\log }_{(3{)}^2}\frac{3}{2}\sqrt{3^6}$
$=\frac{(\frac{6}{2})}{(\frac{3}{2})}{\log }_{3}3=2$