MrJones2015
asked:
In the chapter "A Note on the logarithm, and the flogartithm" (page 139) Jordan says: ln(1000)=4, ln(1mn)=7 and ln(1bn)=10. But according to my calculator it is: ln(1000)=6.9, ln(1mn)=13.8 and ln(1bn)=20.7 Whats wrong here?
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How Not to Be Wrong: The Power of Mathematical Thinking,
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Nitesh Kanthaliya
ln(10000) is not equal to 4 but log(10000)=4. ln the former case log has base as e, but in the latter case, log has base 10. In calculator, when you press ln, it takes base as e and hence the answer. Hope it clarifies.
John Pitts
Those are 'flogarithms' or fake logarithms, not natural logarithms. He defines a flogarithm as the number of digits in a number. 1000 has 4 digits, so its flogarithm is 4. 1 000 000 has 7 digits, so its flogarithm is 7, etc.
Rajul K
Based on the base of the logarithm that you take. Log(base10) 1000 = 4 and Log(base e) 1000 is what you were saying
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