Difference between revisions of "Natural logarithm"

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[[Image:log.png|thumb|right|px=200|red: natural logarithm]]
 
The natural logarithm, <math>\ln(x)</math> is the inverse of the function <math>e^x</math>. In other words, if <math>y = e^x</math>, we define <math>\ln(y) = x</math>.
 
The natural logarithm, <math>\ln(x)</math> is the inverse of the function <math>e^x</math>. In other words, if <math>y = e^x</math>, we define <math>\ln(y) = x</math>.
  
 
The natural logarithm has some interesting properties that follow from the multiplicative properties of <math>e^x</math>.  The natural logarithm is also particularly useful in calculating [[interest]].
 
The natural logarithm has some interesting properties that follow from the multiplicative properties of <math>e^x</math>.  The natural logarithm is also particularly useful in calculating [[interest]].
 
[[Category:Mathematics]]
 
[[Category:Mathematics]]

Revision as of 19:40, December 10, 2008

red: natural logarithm

The natural logarithm, <math>\ln(x)</math> is the inverse of the function <math>e^x</math>. In other words, if <math>y = e^x</math>, we define <math>\ln(y) = x</math>.

The natural logarithm has some interesting properties that follow from the multiplicative properties of <math>e^x</math>. The natural logarithm is also particularly useful in calculating interest.