Problem #3: (a) Find the value ofc that satisfies the conclusion of the Mean Value Theorem for the function f(x)=lnxonthe interval 2,8.(b)Iff(1)=5 and f'(x)7 for 1x8 then, according to the Mean Value Theorem, what is the smallestpossible value for f(8)?(c) Let fbe the function whose graph is shown below.xEstimate the two values ofc that satisfy the conclusion of the Mean Value Theorem on the interval 2,7.Problem #3(a):Enter your answer symbolically,asin these examplesProblem #3(b):Problem #3(c):