The number of years N(r) since two independently evolving languages split off from a common ancestral language is approximated by N(r) = -5000 In r, wherer is the proportion (written as a decimal) of the words from the ancestral language that are common to both languages now. How many years have elapsed since the split if 50% of the words of the ancestral language are common to both languages today? Round your answer to the nearest year. %3D

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.4: Exponential And Logarithmic Equations
Problem 83E: The number N of beavers in a given area after x years can be approximated by N=5.5100.23x,0x10. Use...
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The number of years N(r) since two independently evolving languages split off from a
common ancestral language is approximated by N(r) = -5000 In r, wherer is the
proportion (written as a decimal) of the words from the ancestral language that are
common to both languages now. How many years have elapsed since the split if 50%
of the words of the ancestral language are common to both languages today? Round
your answer to the nearest year.
%3D
Transcribed Image Text:The number of years N(r) since two independently evolving languages split off from a common ancestral language is approximated by N(r) = -5000 In r, wherer is the proportion (written as a decimal) of the words from the ancestral language that are common to both languages now. How many years have elapsed since the split if 50% of the words of the ancestral language are common to both languages today? Round your answer to the nearest year. %3D
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