y = a * x^p
Given the points ( 1 , 3 ) and (4 , 96 )
So, when x = 1 , y = 3
so,
3 = a * (1)^p
so, a = 3
And when x = 4 , y = 96
so,
96 = 3 * 4^p
solve to find p
4^p = 96/3
4^p = 32
Take ln for both sides
p ln 4 = ln 32
p = (ln 32)/(ln 4) = 2.5
so, the equation will be
y = 3 * x^2.5
