The function f(x) = ax^r satisfies f(2) = 1 and f(64) = 4. Find r.
a 2^r = 1 and a 64^r = 4
2^r = 1/a (2^6)^r = 4/a
(2^r)^6 = 4/a
(1/a)^6 = 4/a
1 = a^6 * 4/a = 4a5
a = (1/4)1/5 = .757858283
then a 64r = 4
.757858283 * 64r = 4
r = .4
+36915 
