Is the only way to solve n = (log 0.05) / (log -0.6478) that has negative log numbers is only guessing and can we just remove the negative sign for the number? Is it correct and what is the reason behind it?
The context comes from my previous question which is below:
1 - r^n = 0.95
r^n = 0.05
n log r = log 0.05
n = (log 0.05) / (log -0.6478)
Oops -- log of a negative number!! Will have to think about this some more. But if I say n = (log 0.05) / (log 0.6478) (taking out the minus sign), then I get n = 6.8999, rounded up to n = 7.
IS IT CORRECT?
Out of curiosity, we have
S(7) = a(1-r^7)/(1-r) = 0.6359 a
S = a/(1 - r) = 0.6069
and S(7) / S = 1.04787
so S(7) is within 5% of S. Looks like your answer is n=7.
My only problem involves the log of a negative number, but on that topic, my brain is foggy right now. Anyway, hope this helps.
ANYONE has other methods of doing other than guessing method?
2006-11-10
15:56:34
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2 answers
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asked by
Anonymous
in
Mathematics