Respuesta :

Answer:

[tex]16*(\frac{1}{2})^x[/tex]

Step-by-step explanation:

our equation will look something like this

abˣ=y

We can write the two equations

4=ab²

and

2=ab³

we can divide the second equation by the first and get

[tex]\frac{2}{4}=\frac{ab^3}{ab^2}\\\\=.5=b\\[/tex]

Now that we know what b equals we can plug that value in and solve for a

[tex]4=a*.5^2\\\\a=16[/tex]