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anonymous
 one year ago
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), where r is the percent of words from the ancestral language common to both languages. Find N if r=80%
anonymous
 one year ago
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), where r is the percent of words from the ancestral language common to both languages. Find N if r=80%

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I know how to set it up. It should look like N(r)=5000 In (.80) Though I am not sure what In stands for because my homework doesn't tell me. There is an example that my homework gave me if you would like me to write it down really fast and I can't figure out where they got their answer.

perl
 one year ago
Best ResponseYou've already chosen the best response.1ln stands for the natural logarithm

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh! what is the natural log?

perl
 one year ago
Best ResponseYou've already chosen the best response.1ln(1) means the same as \(\large \log_e(1) \)

perl
 one year ago
Best ResponseYou've already chosen the best response.1It is the logarithm with a base of a special constant \(\large e = 2.71818...\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[ e^{\ln x} = x \\ \ln(e^x) = x\\ \ln(x) = \log_e(x) \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Though \(e^{\ln(x)}\) requires that \(x>0\).

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok! so it should be N(r)=5000(2.718181)(.80)

perl
 one year ago
Best ResponseYou've already chosen the best response.1\( \Large N(r)=5000 \log_e (r)\) That decimal e=2.71828... never ends so its easier to just label it as e

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how do I type that into the calculator? I have a TI84 C

perl
 one year ago
Best ResponseYou've already chosen the best response.1since r is a percent you want r / 100 80% = .80 \( \Large N(.80)=5000 \log_e (.80)\) There should be an LN button on your calculator

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I know you press 2nd then the LN button but I don't know what to type in there after I press those buttons

perl
 one year ago
Best ResponseYou've already chosen the best response.1you don't need to press 2nd LN

perl
 one year ago
Best ResponseYou've already chosen the best response.12nd LN is e^x , a different function

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the answer should be 1115.7178 and when we round it to the nearest whole number it should be 1116 right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0awesome, thank you for your help!
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