Let be the average value of x^4 on [0,6]. Find a value of in [0,6] such that ()=. (Use decimal notation. Round your answer to six decimal places.)

Let M be the average value of f (x) = x4 on [0, 6]. Find a value of c in [0,6] such that f (c) = M. (Use decimal notation. Round your answer to six decimal places.) 259.2