ygfperson

04-05-2003, 08:25 AM

I know that ln(x) is defined as the integral of 1/t from 1 to x. What is the logical connection between that integral and ln(x)? Why is it that way?

View Full Version : ln calculus

ygfperson

04-05-2003, 08:25 AM

I know that ln(x) is defined as the integral of 1/t from 1 to x. What is the logical connection between that integral and ln(x)? Why is it that way?

golfinguy4

04-05-2003, 09:18 AM

AFAIK, ln x is defined as the following:

e^y=x ---> ln(x)=y

Although what you are saying is true, I have never heard of it being used as the definition of ln.

e^y=x ---> ln(x)=y

Although what you are saying is true, I have never heard of it being used as the definition of ln.

ygfperson

04-05-2003, 10:02 AM

I'll rephrase...

why is the integral of 1/t from 1 to x, ln(x)? What connection is there between a log and an integral? (ie: why does this connection exist?)

why is the integral of 1/t from 1 to x, ln(x)? What connection is there between a log and an integral? (ie: why does this connection exist?)

alpha

04-05-2003, 10:26 AM

try this link (http://mathforum.org/library/drmath/view/53629.html)

ygfperson

04-05-2003, 08:10 PM

I see... thanks

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