The goal of this problem is to use the Intermediate Value Theorem to prove that there exists a positive number c which is the fifth root of 2.
Another way of expressing this is that we would like to find a positive root \,c of the continuous function f(x) = x^5 - ? .
Note: Fill in the box with an appropriate constant to complete the definition of the function f(x).
The Attempt at a Solution
I tried 32, 1/32, which I thought they were just asking for 2^5? But I guess not.. I understand what the intermediate value theorem is, but not in the context of what they are asking.