Find the exponential function of the form f(x)=c*a^x that contains the two points shown below: (0,8) and (3,64)

Question

I need this to be answered before 11:00 PM tonight.

Answer 1

8 = ca⁰

64 = ca³

8 = a³ divide lower by upper

2 = a

64 = 8c

8 = c

Answer 2

f(x) = ca^x

Since (0,8) is on the graph, 8 = ca⁰ = c(1). So, c = 8.

Therefore, f(x) = 8a^x.

Since (3, 64) is also on the graph, 8a³ = 64. So, a³ = 8. Therefore, a = 2.

f(x) = 8(2^x)