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Math Help - Can I change the base number in y=c*b^x ?

  1. #1
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    Can I change the base number in y=c*b^x ?

    Hi,
    I have some data (x,y) and I plotted its graph in excel, and added a trendline which is defined by
    y = c*exp(x)
    but my claim was y = c * 2^x and I don't know how to make the line equation power of 2 instead of e.
    So, does this (exp) equation implies that my claim was true?
    I mean is it sufficient to show y = c * (some\_base)^x?
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  2. #2
    MHF Contributor
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    Re: Can I change the base number in y=c*b^x ?

    Hey publicvoid.

    Recall that (e^ln(a))^x = a^x = e^(x*ln(a)) so using a substitution z = x*ln(a) you can get a^x by using f(z) = e^z where z = x*ln(a).
    Thanks from publicvoid
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