Why the log 0.645 whose characteristic comes to be -1,but when we take out it's value from calculator comes out to be -0.190.. What is it's characteristic(-1or-0)?
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Step-by-step explanation:
log 0.645 = - 0.190 = -1 + 0.810 this is by calculator
theoraticaly & mathematically ;
log 0.645 = log 645/1000 = log 645 - log 1000 = 2.810 - 3 = 0.80 - 1
in fact the characteristic is -1 because the number 0.645 is less than 1
Historical Outlines
the concept of the characteristic number is a classical concept used in the 20th century and may be earlier before the invention of calculators , because the mathematical logarithmic tables were arranged according to this concept.
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