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Math Help - exponential function

  1. #1
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    exponential function

    Evolution of Language: The number of years, n, since two independently evolving languages split off from a common ancestral language is approximated by

    n=-7600 log r,

    where r is the proportion of words from the ancestral language common to both langages.

    (a) Find n if r=.9. (b) Find n if r=.3

    (c) How many years have elasped since the spilt if half of the words of the ancestral language are common to both languages?
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by norwoodjay View Post
    Evolution of Language: The number of years, n, since two independently evolving languages split off from a common ancestral language is approximated by

    n=-7600 log r,

    where r is the proportion of words from the ancestral language common to both langages.

    (a) Find n if r=.9. Chris says substitute r=.9 into the equation and evaluate -7600\log(.9)

    (b) Find n if r=.3 Chris says substitute r=.3 into the equation and evaluate -7600\log(.3)

    (c) How many years have elasped since the spilt if half of the words of the ancestral language are common to both languages? Chris says that r is given to us: r=.5. Now evaluate -7600\log(.5)
    Does this make sense?

    --Chris
    Last edited by Chris L T521; July 12th 2008 at 09:23 PM.
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  3. #3
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    Chris can you give me the final solution answer?
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