The formula is right there with all of the variables, you did the math correct.
Using the standard calc that comes with all PCs (switched to scientific mode) you can find the ln button (natural log).
Now the scanning rules page is a bit wonky (as all of them tend to be)
I have no idea why the rules pages can never make sense, but for some silly reason it lists the example of range (section 1.1) under sensor power (section 2.1) the blue box example.
Ah have access to a ship with 1 Sensors but the range is 2, another ship with 2 Sensors with a range of 3, a vehicle with 3 Sensors with a range of 4, another ship with 4 Sensors with a range of 5, another ship with 5 Sensors with a range of 6, 3 ships each with 8 Sensors that all have a range of 9 (would say something about the Stats but that's a restricted topic)
Don't have access to anything with 6 or 7 Sensors so they might be different
I noticed the same thing ... I came out of inactivity and my fighters now have a range of 2, my caps with sensor 8 looks the same but may have an extra range added to them as well. I thought you guys changed it.
Now it includes the square you are in, possibly because people couldn't quite figure it out (maybe thinking that the Sensors meant the number of squares away from your ship, with 0 Sensors just showing what shares your square with you)
Well each square in a system is one square AU. It would make sense if we went back to sensors of 1 was only the square you are on, because you wouldn't be able to see every thing by eyesight on your square. No in the atmosphere or on the ground it would make sense to have the square you are on plus the range of your sensors.