Respuesta :

3^2x = 1/81
3^2x = 3^-3
by equating powers of 3,
2x = -3
x = -3/2

hope this helps :)))
[tex]3^2x = \dfrac{1}{81} [/tex] 

[tex]9x= \dfrac{1}{81} [/tex] 

[tex]x= \dfrac{ \dfrac{1}{81} }{9} [/tex] 

[tex]x= \dfrac{1}{81*9} [/tex] 

[tex]x= \dfrac{1}{729} [/tex]