If f of x is equal to 4 to the x th power and f of 3 is equal to 64 , what should f of 5 be to maintain equal factors over equal intervals?

Since f(x) = 4^x, increasing x by 1 multiplies the function value by 4. From x = 3 to x = 5 is two equal steps, so f(5) = 64 × 4 × 4 = 1,024. The correct choice is 1,024.

AI-written and checked against the verified answer.