difference between natural log and log of base ten

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Junaid Alam

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difference between log and log to the base 10

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

natural log of pi

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.
 

differnece between ln and log

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)?

 

no said:
By the way, does anybody know any history of the pi (3.14)?
Click to expand...

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

**broken link removed**

**broken link removed**

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)?
Click to expand...

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.
 

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