Properties of logarithms, Mathematics

Properties of Logarithms

1. loga xy
= loga x + loga y
2. 727_properties of logs.png
= loga x - loga y
3. loga xn 
= n loga x
4. 1061_properties of logs1.png
   
5. logba. logab = 1
   
6. logax = logbx . logab
   

Logarithmic functions with respect to base 'e' are called natural logarithmic functions and are expressed as y = logex. 'logex' is commonly written as 'ln x'. Thus 'ln x' is the power to which 'e' must be raised to get x.

The relationship between natural logarithm and logarithm with respect to any base other than 'e' is:

logex = logax . logea

Posted Date: 9/13/2012 6:12:21 AM | Location : United States







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