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f(x) = ln x, [1, 6]

If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE).

1 answer

(ln6 - ln1)/(6-1)
ln6/5

So, we want ln c = ln6/5
c = e^(ln6/5) = 6^1/5

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