Step-by-step explanation:
[tex]2 = c(a) {}^{x} [/tex]
[tex]2 = c(a) {}^{0} [/tex]
[tex]2 = c(1)[/tex]
[tex]2 = c[/tex]
So our function is
[tex]y = 2(a) {}^{x} [/tex]
[tex]16 = 2(a) {}^{x} [/tex]
[tex]8 = a {}^{3} [/tex]
[tex]a = 2[/tex]
So our function is
[tex]y = 2(2) {}^{x} [/tex]