# About exponentials

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• August 16th 2009, 03:47 AM
Modernized
About exponentials
Hello people,

Im just wondering when I have a set of datas and I need to find all of the 'k' values
Ce^kt
eg.
0.45
0.54
0.46
0.65
then I would average those k values to find a mean value.

However, this method is not accurate at all...

Im just wondering if anyone can give me a better way to find an accurate 'k (constant value - rate of growth)' value.

Thanks people!
• August 16th 2009, 04:25 AM
running-gag
If you have $y = C \: e^{kt}$ then $\ln(y) = kt + \ln(C)$ which is a linear relation between ln(y) and t

Have you tried this ?
• August 16th 2009, 04:29 AM
Modernized
Yes, I've tried it. But, the problem is that when I have a several different constant values, how can I find the most accurate k value out of them? (Instead of finding a mean)
• August 16th 2009, 05:46 AM
mr fantastic
Quote:

Originally Posted by Modernized
Yes, I've tried it. But, the problem is that when I have a several different constant values, how can I find the most accurate k value out of them? (Instead of finding a mean)

Plot points in the way suggested in post #2. Then use the value of k calculated from the line of best fit.