Question

logo de 3 raiz de 3 com base 1\9 

Answer 1

$log_{\frac{1}{9}}3 \sqrt{3}=x \rightarrow (\frac{1}{9})^x =3 \sqrt{3}\\ \\ 3^{-2x}= 3^{\frac{3}{2}} \rightarrow -2x=\frac{3}{2} \rightarrow x=-\frac{3}{4}$

Answer 2

$log_{ \frac{1}{9} } 3 \sqrt{3} =x$

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

$( 9^{-1} )^{x} = \sqrt{ 3^{3}}$

$( 3^{-2} )^{x} = 3^{ \frac{3}{2} }$

$3^{-2x} = 3^{ \frac{3}{2} }$

$-2x= \frac{3}{2}$

$x= -\frac{3}{4}$