Question

Resolva a seguinte equação exponencial.

a) $x\sqrt{3} = \frac{1}{9}$

Answer 1

x$\sqrt{3} = \frac{1}{9}$
$\sqrt{3 x^{2} } = \frac{1}{9} = 3 x^{2} = ( \frac{1}{9} )^{2} = \frac{1}{81}$
$x^{2} = \frac{1}{ \frac{81}{3} } = \frac{1}{81} * \frac{1}{3} = \frac{1}{243}$
x=$\sqrt{ \frac{1}{243} }$

Ou 
$x= \frac{1}{ \frac{9}{ \sqrt{3} } } = \frac{1}{9} * \frac{1}{ \sqrt{3} } = \frac{1}{9 \sqrt{3} } = \frac{1}{9 \sqrt{3} } * \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{ \sqrt{3} }{27}$