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Math Help - About exponentials

  1. #1
    Junior Member
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    Post 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!
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  2. #2
    MHF Contributor
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    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 ?
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  3. #3
    Junior Member
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    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)
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  4. #4
    Flow Master
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    Quote Originally Posted by Modernized View Post
    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.
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