Let f(x)=241+3e−1.3x . what is the point of maximum growth rate for the logistic function f(x) ? round your answer to the nearest hundredth.

x = 0.82

Step-by-step explanation:

I am assuming your logistic function is  

The graph of the function is asymmetric, the maximum value is 24, and the point of maximum growth is at

y = 24/2  

So, we can set y = 24/2 and solve for x.

The numerators are equal, so the denominators must be equal.

    log3 = -1.3x

-0.4771 = -1.3x

         x = 0.4771/1.3

         x = 0.82

The point of maximum growth is at x = 0.82.

You can see the logistic curve and the point of maximum growth in the image below.