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Antilog of a number 
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#1
May1414, 11:57 PM

P: 166

If we accept both positive and negative values for the square root of a number, then can the antilog of a number be negative?



#2
May1514, 12:41 AM

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You should be able to work that out from the definition of the logarithm (and what "antilogarithm" means.)http://en.wikipedia.org/wiki/Logarithm#Inverse_function
if ##y=b^x## then ##\log_b(y)=x## ##\text{antilog}_b x (= b^x) = y## You want to know if y can be negative. Presumably your concern is that the log is not defined for negative values of y. It is a bit like the surd for square roots ... to account for negative values, define: ##\log_by=x##, i.e. take the absolute value. Then there are two possible values going the other way. Otherwise you are implicitly requiring a positive value for y as the original input. 


#3
May1514, 12:54 AM

P: 166

So, is it like we have both positive and negative values but we keep only positive values?



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