Question

Log

Answer 1

$log \sqrt{216}=log \sqrt[2]{2 ^{3}*3 ^{3} }\\\\ log \sqrt{216}=log2 ^{ \frac{3}{2} }*3 ^{ \frac{3}{2} }\\\\ log \sqrt{216}= \frac{3}{2}*log2+ \frac{3}{2}*log3\\\\ log \sqrt{216}= \frac{3}{2}*0,3010+ \frac{3}{2}*0,4771\\\\ log \sqrt{216}=0,4515+0,7156\\\\ \boxed{log \sqrt{216}\approx1,1671}~\to~alternativa~E$

Espero ter ajudado e tenha ótimos estudos ;D