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Natural logarithm of quotient of two equal numbers

Posted 11 years ago
Hello! I'm using Mathematica 9.0.0.0 and I've come across following puzzling results:
 In[12]:= Log[8.62096/8.62096]
 Log[8.62097/8.62097]
 Log[8.62098/8.62098]
 
 Out[12]= 0.
 
 Out[13]= -1.11022*10^-16
 
 Out[14]= 0.
When I calculate logarithm of quotient of two equal numbers I do not always get zero. What might be the reason for that?
POSTED BY: MIkhail Kamrotov
The second logarithm's argument is not quite 1., because of floating point arithmetic:
In[12]:= 8.62097/8.62097 // InputForm

Out[12]//InputForm= 0.9999999999999999
POSTED BY: Ilian Gachevski
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