Question

So, Im doing an assignment..and basically we had to fin or own data. We had to graph the data to find the exponential function. For the data I have, the function is f(x) = 282.26e^(-0.78x).

Then it asks me to convert the given function (f(x) = 282.26e^-0.78x) into a logarithmic function. How do you do this? This is what I have so far, but I'm not sure what I'm doing:

f(x) = 282.26e^-0.78x
Y = 282.26e^(-0.78x)
Ln y/282.26 = ln e^(-0.78x)
Ln y – 282.26 = ln e^(-0.78)
Ln y = ln e^(-0.78x) + 2.45
Ln y = -0.78x + 2.45

Then it asks what the graph will look like