Respuesta :

Medunno13

Answer:

[tex]y=2(3)^x[/tex]

Step-by-step explanation:

[tex]y=ab^x \\ \\ \frac{2}{9}=ab^{-2} \\ \\ 54=ab^3 \\ \\ \implies \frac{ab^3}{ab^{-2}}=b^5=\frac{54}{2/9}=243 \\ \\ b=3 \\ \\ a(3)^3=54 \implies a=2 \\ \\ \therefore y=2(3)^x[/tex]