/sci/ - Science & Math » Thread #12901579

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Anonymous Tue 30 Mar 09:20:14 2021 No.12901579 View Reply Original Report

Quoted By: >>12901719 >>12902080 >>12902266 >>12905278

>a=b+c
>loga=logb+logc

Anonymous

Anonymous Tue 30 Mar 2021 09:22:08 No.12901584 Report

Quoted By:

>a=b+c
>cosa = cosb+cosc

Anonymous

Anonymous Tue 30 Mar 2021 11:04:14 No.12901719 Report

Quoted By: >>12902080 >>12902472

>>12901579
log(1+2+3)=log(1)+log(2)+log(3)
checks out

Anonymous

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Anonymous Tue 30 Mar 2021 12:50:02 No.12902080 Report

Quoted By:

>>12901719
>>12901579
LOOOOOOOOOOOOOOOOOOOOOL

Anonymous

Anonymous Tue 30 Mar 2021 13:05:40 No.12902266 Report

Quoted By:

>>12901579
>muh group homomorphisms

Anonymous

Anonymous Tue 30 Mar 2021 13:19:58 No.12902472 Report

Quoted By: >>12902578

>>12901719
let's verify this
log(1+2+3) = log(6) = 1.791759469...
log(1) + log(2) + log(3) = log(1+2+3) = log(6) = 1.791759469

Anonymous

Anonymous Tue 30 Mar 2021 13:27:54 No.12902578 Report

Quoted By: >>12902597

>>12902472
its a clever trick:
ln6=ln1+ln2+ln3
ln6= 0 + ln2+ln3
ln6=ln(2×3)
=1.79175...

Anonymous

Anonymous Tue 30 Mar 2021 13:29:36 No.12902597 Report

Quoted By: >>12902613 >>12902619 >>12902687

>>12902578
>ln

Anonymous

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Anonymous Tue 30 Mar 2021 13:31:09 No.12902613 Report

Quoted By:

>>12902597
>LAAAAAWWWWWNNNN

Anonymous

Anonymous Tue 30 Mar 2021 13:31:32 No.12902619 Report

Quoted By:

>>12902597
indeed, I also use log10 and log2 instead of log
this guessing game is just unnecessary

Anonymous

Anonymous Tue 30 Mar 2021 13:38:21 No.12902687 Report

Quoted By: >>12902721 >>12902726 >>12902739 >>12902799 >>12903844 >>12905139

>>12902597
A math prof said something that stuck with me. "There is no ln(x) in this class. In this course log(x) refers to the only logarithm that matters. If you for some reason need to use a logarithm with base equal to the number of fingers on a typical human hand please denote it as log10"

Anonymous

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Anonymous Tue 30 Mar 2021 13:41:23 No.12902721 Report

Quoted By: >>12902756

>>12902687
which notation do i use? ln(x) or log(x) to refer to the logarithm of base e

Anonymous

Anonymous Tue 30 Mar 2021 13:41:49 No.12902726 Report

Quoted By: >>12902798 >>12902915

>>12902687
There is literally no use for log10 except when gently introducing the concept of a logarithm to high schoolers to make them feel comfortable with a base they are already familiar with.

Anonymous

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Anonymous Tue 30 Mar 2021 13:43:08 No.12902739 Report

Quoted By: >>12902769 >>12902808

>>12902687
$log_{e}(x)$

Anonymous

Anonymous Tue 30 Mar 2021 13:44:04 No.12902756 Report

Quoted By:

>>12902721
Use ln (logarithme naturel) instead of being a spergy mutt.

Anonymous

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Anonymous Tue 30 Mar 2021 13:45:30 No.12902769 Report

Quoted By:

>>12902739
big brain

Anonymous

Anonymous Tue 30 Mar 2021 13:48:08 No.12902798 Report

Quoted By: >>12902880

>>12902726
It's used for the pH scale, Richter scale, decibel measurements and many other things.

Anonymous

Anonymous Tue 30 Mar 2021 13:48:09 No.12902799 Report

Quoted By: >>12902811

>>12902687
>the only logarithm that matters
retard here, what specifically distinguishes base e from all the other logs? All computer languages just use log to refer to e as if its so special.

Anonymous

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Anonymous Tue 30 Mar 2021 13:49:09 No.12902808 Report

Quoted By: >>12902875

>>12902739
$log_{ \lim{n \to \infty} (1+1/n)^{n} }(x)$

Anonymous

Anonymous Tue 30 Mar 2021 13:49:53 No.12902811 Report

Quoted By:

>>12902799
It's its own derivative, which often results in simpler equations than using other logarithms.

Anonymous

Anonymous Tue 30 Mar 2021 13:55:57 No.12902875 Report

Quoted By:

>>12902808
Use the Taylor series

Anonymous

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Anonymous Tue 30 Mar 2021 13:56:23 No.12902880 Report

Quoted By: >>12902906 >>12902936

>>12902798
>cites usefulness of log10 in applied math

Anonymous

Anonymous Tue 30 Mar 2021 14:00:29 No.12902906 Report

Quoted By:

>>12902880
Your example was referring to high-school math, which is definitely applied.

Anonymous

Anonymous Tue 30 Mar 2021 14:02:24 No.12902915 Report

Quoted By: >>12902922

>>12902726
What about base 2?

Anonymous

Anonymous Tue 30 Mar 2021 14:03:22 No.12902922 Report

Quoted By:

>>12902915
Has applications in computer science which is even lower than applied math

Anonymous

Anonymous Tue 30 Mar 2021 14:04:35 No.12902936 Report

Quoted By:

>>12902880
pure math is just a made up field so that autists could pretend to be working

Anonymous

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Anonymous Tue 30 Mar 2021 14:08:43 No.12902979 Report

Quoted By: >>12902987 >>12903760 >>12903809

e = ? = 3

Anonymous

Anonymous Tue 30 Mar 2021 14:09:16 No.12902987 Report

Quoted By:

>>12902979
Based engineer

Anonymous

Anonymous Tue 30 Mar 2021 16:12:47 No.12903760 Report

Quoted By: >>12905260

>>12902979
what are the consequences of this with regards to e?
3 is unironically an ok approximation for pi, with 5% inaccuracy in most small scale constructions and circle measures in general not being not too catastrophic. How about e?

Anonymous

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Anonymous Tue 30 Mar 2021 16:22:56 No.12903809 Report

Quoted By:

>>12902979
$\pi = 10$

Anonymous

Anonymous Tue 30 Mar 2021 16:28:22 No.12903844 Report

Quoted By: >>12905011

>>12902687
ln base e
lg base 10
log generic

Anonymous

Anonymous Tue 30 Mar 2021 20:36:02 No.12905011 Report

Quoted By:

>>12903844
cringe

Anonymous

Anonymous Tue 30 Mar 2021 21:10:20 No.12905139 Report

Quoted By: >>12905189

>>12902687
I have 5 fingers on my hand

Anonymous

Anonymous Tue 30 Mar 2021 21:22:01 No.12905189 Report

Quoted By:

>>12905139
Then you can count to 6, unless you are female.

Anonymous

Anonymous Tue 30 Mar 2021 21:43:44 No.12905260 Report

Quoted By:

>>12903760
3 is a terrible approximation to e
since we're working with exponential functions, the difference in accuracy is always a static around 10%

Anonymous

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Anonymous Tue 30 Mar 2021 21:47:35 No.12905278 Report

Quoted By:

>>12901579
Gruga = Ooga + Booga

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