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  4. These are numeric entry type questions. log 3 √3 √729=

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

Logarithms

Solution:

$\log _{3 \sqrt{3}} \sqrt{729}=\log _{(3)^2} \frac{3}{2} \sqrt{3^6}$
$ =\frac{(\frac{6}{2})}{(\frac{3}{2})} \log _3 3=2$