Megha R.

asked • 01/06/18

What are natural logrithms?How can we identify?

About natural logrithms?

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Andrew M. answered • 01/06/18

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A natural logarithm is a logarithm to the base e
 
e is Euhler's number:  2.71828…
 
A natural logarithm is loge denoted as ln instead of log
 
 
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Arturo O.

Andrew's explanation is correct.  But old thermodynamics books have equations that say log when they really mean ln (i.e. loge).  I noticed that in Kittels' thermodynamics book, which though old, remains popular, with subsequent editions.  I do not know if the latest edition edited log to say ln.  In any case, keep in mind that not all books use the same notation, which can cause some confusion.
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01/06/18

Mark M.

In 1683 Jacob Bernoulli examined continuous compounding interest. 
Starting with 1 (dollar?) the ending amount approached 2.7182818284590452353602874713527 as time increased without bound.
 
 
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01/06/18

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