What value of x satisfies the conclusion of the mean value theorem for f(x) = ln(x3) over the interval [1, e2]?

satisfies the conclusion of the Mean Value Theorem for over the interval .

Step-by-step explanation:

According to the Mean Value Theorem, for all function that is differentiable over the interval , there is at a value within the interval such that:

(1)

Where:

, - Lower and upper bounds.

, - Function evaluated at lower and upper bounds.

- First derivative of the function evaluated at .

If we know that , , and , then we find that:

satisfies the conclusion of the Mean Value Theorem for over the interval .

7

step-by-step explanation: