Author Topic: Math Question  (Read 744 times)

Offline midnight Target

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Math Question
« on: September 15, 2003, 08:14:49 AM »
Logarithms... Back in my day there were "natural logs" based on a number like 2.?????????. What the heck are these used for, and where did that number come from?

Always wondered.

Offline Octavius

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« Reply #1 on: September 15, 2003, 08:47:13 AM »
Growth and decay, interest rates, mortgage, population growth... one use:  P = e^kt
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Offline midnight Target

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« Reply #2 on: September 15, 2003, 09:16:42 AM »
Thanks

Doesn't explain the number though.

For example 3.141... is the ratio of the diameter to the circumfrence of a circle. Where the heck did 'e' come from?

Offline beet1e

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« Reply #3 on: September 15, 2003, 09:16:43 AM »
The main use of logarithms was to torture poor unfortunates such as myself. To multiply two numbers together, you would would look up the logarithm value for each in a book, then add those values together. Then, you would look up the result of that addition in the antilogarithm chart to get your decimal answer. I seem to remember something about "bar one", in a value like 1.08 - which meant that the 1 was negative but the .08 was still positive. All very confusing, and of doubtful use in the modern age.

Offline niknak

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« Reply #4 on: September 15, 2003, 09:41:16 AM »
2.7..... is special number. When you differentiate exp(x) you get .... exp(x) daaa daaa (where exp is the base of a natural log). This makes them convienient to work with. They can also give rise to hyperbolic and trigonemetric functions.

Offline davidpt40

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« Reply #5 on: September 15, 2003, 09:46:57 AM »
PH scale is a logarithm.  So is the decibel scale.

Offline Udie

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« Reply #6 on: September 15, 2003, 09:48:07 AM »
:mad:

Offline beet1e

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« Reply #7 on: September 15, 2003, 10:02:03 AM »
MT - I remember now.

The log values represent 10 to the power n - so the log value for 100 is 2 because 100 is 10². The log value for 1000 is 3 because 1000 is 10³.

The log value for 1 is zero because any number to the power zero is 1.  Any number to the first power is itself.

Now all we have to do is to find a use for all this...

Offline midnight Target

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« Reply #8 on: September 15, 2003, 10:02:43 AM »
Quote
Originally posted by davidpt40
PH scale is a logarithm.  So is the decibel scale.


And Richter..

niknak.. thats the info I'm looking for, the 2.7????  - Why 2.7????

Offline beet1e

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« Reply #9 on: September 15, 2003, 10:12:18 AM »
The circumference of a circle is approximately 3.141 times the diameter. This special value is known as pi. (a letter in the Greek alphabet)
« Last Edit: September 15, 2003, 10:37:59 AM by beet1e »

Offline Eagler

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I flush my
« Reply #10 on: September 15, 2003, 10:12:30 AM »
logarithms right after reading the morning comics :)
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Offline beet1e

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Re: I flush my
« Reply #11 on: September 15, 2003, 10:14:23 AM »
Quote
Originally posted by Eagler
logarithms right after reading the morning comics :)
LOL Eagler. At least you don't try to polish 'em. :D

Offline GrimCO

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Math Question
« Reply #12 on: September 15, 2003, 10:15:52 AM »
An mathmetician will tell you that it is impossible to pick up an object. In order to pick it up, you must first walk halfway there. Then halfway again from the other half you just walked, and so on. According to this logic, you'll never arrive at the object in order to pick it up.

Offline midnight Target

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« Reply #13 on: September 15, 2003, 10:28:34 AM »
Quote
Originally posted by beet1e
MT - I remember now.

The log values represent 10 to the power n - so the log value for 100 is 2 because 100 is 10². The log value for 1000 is 3 because 1000 is 10³.

The log value for 1 is zero because any number to the power zero is 1.  Any number to the first power is itself.

Now all we have to do is to find a use for all this...


Well done beetle...

Now go get a gun and shoot your reading comprehension teacher.

I know what a logarithm is. I'm wondering where the base number for natural logs comes from.

Offline midnight Target

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Math Question
« Reply #14 on: September 15, 2003, 10:29:18 AM »
Quote
Originally posted by GrimCO
An mathmetician will tell you that it is impossible to pick up an object. In order to pick it up, you must first walk halfway there. Then halfway again from the other half you just walked, and so on. According to this logic, you'll never arrive at the object in order to pick it up.


Zeno's paradox.