Problem 42 of 7
Calculate average rate of change for exponential or logarithmic function f(x)=ln(x) on interval [1,e^2].
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
evaluate and interpret nonlinear change.
Hidden until you reveal it.
Evaluate and interpret nonlinear change over the interval.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Evaluate the function at both endpoints.
2. Subtract outputs and inputs consistently.
3. Simplify and attach units if context is given.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using the growth factor itself as the average rate without endpoint calculation.