difference between natural log and log of base ten

HI
can any one explain me difference between natural log and log of base ten.
Thanks

A number can be represented by a first number raised to the exponent of a second number. The second number is call the logarithm and the first number is the base. The two most common bases are 10 and 2.7......

The symbol for the first is Log and for the second Ln.

the reson of choosing 10 is obvious, but why e=2.7...?
the answer is that it back to 300 years or more ago. to Euler (which e comes from his name). the function e^x is the only function that its derivative (and consequently its integral) is itself. {e^x'=e^x). no other function has this charasteristic. the number e could be achieved by several numerical and analytical methods, more often infinite summations.
this number has more important rule in complex analysis.

marti

And if you need to convert between them:
log10(x) = ln(x) / ln(10)
ln(x) = log10(x) / log10(e)

y
y = log (x) ==>find y: x = b
b

where b is the base (b = 10 or b = e)

Thanks for your interesting reply. I did not realise the e comes from Euler's name until I real your post!

By the way, does anybody know any history of the pi (3.14)?

Originally Posted by mamali

the reson of choosing 10 is obvious, but why e=2.7...?
the answer is that it back to 300 years or more ago. to Euler (which e comes from his name). the function e^x is the only function that its derivative (and consequently its integral) is itself. {e^x'=e^x). no other function has this charasteristic. the number e could be achieved by several numerical and analytical methods, more often infinite summations.
this number has more important rule in complex analysis.

marti

Originally Posted by no

By the way, does anybody know any history of the pi (3.14)?

Just use Google, it's very very easy to find!!!

http://www.wordiq.com/definition/Pi

http://www.campusprogram.com/referen...a/p/pi/pi.html

http://www.briantaylor.com/Pi.htm

There 100's of pages like this, no need to ask about it here.

virology.wisc.edu/acp/Classes/ DropFolders/DropBioMod_lectures/M04-NatLogs.pdf


there u go

By the way, does anybody know any history of the pi (3.14)?

Pi basically establishes the relationship b/w circumference and diameter.
The ratio of circumference to diameter is pi.

Note that pi=22/7 is just an approximation,thats why it not a rational but irrational number

You should read:

e: The Story of a Number
by Eli Moar

for a more historical and detailed discussion.