00:01
Okay, so let's take a look at the function that we're working with.
00:03
We have x equals x0 e to the mu times t.
00:09
Now we know that this exponential value here needs to be unitless, which means, as a result, the answer to a is going to be that mu has units of per hour.
00:27
So hour to the minus one, because that's the only way we can get this to cancel.
00:34
Next up, the most obvious way we can look at this is we can plot x versus e to the t.
00:48
However, we can also plot lon of x versus t versus t.
00:57
Remember, that natural logarithm function undoes this completely.
01:01
So these are both going to be equivalent plots.
01:04
And if we go ahead and we do plot this data, we will will find a slope that equals 0 .34354.
01:21
3, 3354.
01:24
And then from here, we can go ahead and figure out the length of time it's going to take us to double.
01:31
So remember that slope is going to be this guy, x over et...