Logs! (1 Viewer)
- Thread starter skankit
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Giant Lobster
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got specific queries?
KeypadSDM
B4nn3d
I love 'em
If you're finding them troublesome, just learn the rules off by heart, and they'll be simple.
Log_a[b^c] = c * Log_a
Log_a = Log_c/Log_c[a]
Log_a + Log_a[c] = Log_a[bc]
Log_a - Log_a[c] = Log_a[b/c]
Now these ones are just extras which are useful to know:
Log_a * Log_b[a] = 1
a^(1/Log_b[a]) = b
And I forgot the most important one, the very definition of a log.
a = b^(Log_b[a])
If you're finding them troublesome, just learn the rules off by heart, and they'll be simple.
Log_a[b^c] = c * Log_a
Log_a = Log_c/Log_c[a]
Log_a + Log_a[c] = Log_a[bc]
Log_a - Log_a[c] = Log_a[b/c]
Now these ones are just extras which are useful to know:
Log_a * Log_b[a] = 1
a^(1/Log_b[a]) = b
And I forgot the most important one, the very definition of a log.
a = b^(Log_b[a])
Last edited:
~*HSC 4 life*~
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i love logs too....
hate geometry and probability UGH!!
hate geometry and probability UGH!!
anti
aww.. baby raccoon ^^
learn the log laws 
...
^___^
wtf r u doing here!!!!!!!!Originally posted by anti
learn the log laws
freaking_out
Saddam's new life
yeah, get back to english!
Giant Lobster
Active Member
LOL! what a way to greet someone
just cos shes an english mod doesnt mean she's not allowed to help ppl with logs.
victorling
Member
logs is full of fun!
Grey Council
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Hokay, just clearing this up a bit, and adding a few more rules.
Basics first:
log<sub>b</sub>MN = log<sub>M</sub> + log<sub>b</sub>N
log<sub>b</sub>M/N = log<sub>M</sub> - log<sub>b</sub>N
log<sub>b</sub>b = 1
log<sub>b</sub>1 = 0
log<sub>b</sub>b<sup>k</sup> = k
What Keypad posted, but tidied up a bit (easier to read):
Log<sub>a</sub>b<sup>c</sup> = c * Log<sub>a</sub>b
Log<sub>a</sub>b = Log<sub>c</sub>b / Log<sub>c</sub>a
Log<sub>a</sub>b * Log<sub>b</sub>a = 1
a<sup>1/Log_b[a]</sup> = b
a = b<sup>Log_b[a]</sup>
YAY to the QUICKEDIT feature.
and if i made a mistake, please let me know.
Learn all those by heart, you'll have a lot less difficulty. And no, learn off by heart doesn't mean rote learn all of them. Try to understand em. As in think about it for a bit, 'understand' it, and you won't forget it. Logs laws aren't all that hard to learn. Unlike trig rules. :-\
Basics first:
log<sub>b</sub>MN = log<sub>M</sub> + log<sub>b</sub>N
log<sub>b</sub>M/N = log<sub>M</sub> - log<sub>b</sub>N
log<sub>b</sub>b = 1
log<sub>b</sub>1 = 0
log<sub>b</sub>b<sup>k</sup> = k
What Keypad posted, but tidied up a bit (easier to read):
Log<sub>a</sub>b<sup>c</sup> = c * Log<sub>a</sub>b
Log<sub>a</sub>b = Log<sub>c</sub>b / Log<sub>c</sub>a
Log<sub>a</sub>b * Log<sub>b</sub>a = 1
a<sup>1/Log_b[a]</sup> = b
a = b<sup>Log_b[a]</sup>
YAY to the QUICKEDIT feature.
and if i made a mistake, please let me know.
Learn all those by heart, you'll have a lot less difficulty. And no, learn off by heart doesn't mean rote learn all of them. Try to understand em. As in think about it for a bit, 'understand' it, and you won't forget it. Logs laws aren't all that hard to learn. Unlike trig rules. :-\
Last edited:
victorling
Member
cool
the laws of logs
the laws of logs
Grey Council
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you like em? Easy to read, and i don't mind if you print it and give it to your students.
but we should have this stickied somewhere. So many people ask for this. I myself didn't know any of them till the yearlies for year 11.
but we should have this stickied somewhere. So many people ask for this. I myself didn't know any of them till the yearlies for year 11.
victorling
Member
i haven't got much students yet(3 at this moment)..lolOriginally posted by Grey Council
you like em? Easy to read, and i don't mind if you print it and give it to your students.
but we should have this stickied somewhere. So many people ask for this. I myself didn't know any of them till the yearlies for year 11.
Grey Council
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ah well. They'll get more when the word spreads around.
Thing is, we can't tell if your a good TEACHER. I mean, sure, you can be good at maths, but teaching is a talent. It doesn't really come with knowledge. You can have a person getting a UAI of 70, but if he inspires his STUDENTS to work, he is a successful teacher. Cause its the student working that will help the student. If the student doesn't work, tuition won't help.
and don't take that wrong. I'm just observing.
Thing is, we can't tell if your a good TEACHER. I mean, sure, you can be good at maths, but teaching is a talent. It doesn't really come with knowledge.
You can have a person getting a UAI of 70, but if he inspires his STUDENTS to work, he is a successful teacher. Cause its the student working that will help the student. If the student doesn't work, tuition won't help.and don't take that wrong. I'm just observing.
victorling
Member
Originally posted by Grey Council
ah well. They'll get more when the word spreads around.
Thing is, we can't tell if your a good TEACHER. I mean, sure, you can be good at maths, but teaching is a talent. It doesn't really come with knowledge.
and don't take that wrong. I'm just observing.
u r very correct
thats really the truth
KeypadSDM
B4nn3d
log<sub>b</sub>MN = log<sub>b</sub>M + log<sub>b</sub>N
log<sub>b</sub>M/N = log<sub>b</sub>M - log<sub>b</sub>N
log<sub>b</sub>b = 1
log<sub>b</sub>1 = 0
log<sub>b</sub>b<sup>k</sup> = k
What Keypad posted, but tidied up a bit (easier to read):
Log<sub>a</sub>b<sup>c</sup> = c * Log<sub>a</sub>b
Log<sub>a</sub>b = Log<sub>c</sub>b / Log<sub>c</sub>a
Log<sub>a</sub>b * Log<sub>b</sub>a = 1
a<sup>1/Log_b[a]</sup> = b
a = b<sup>Log_b[a]</sup>
Now they're right.
log<sub>b</sub>M/N = log<sub>b</sub>M - log<sub>b</sub>N
log<sub>b</sub>b = 1
log<sub>b</sub>1 = 0
log<sub>b</sub>b<sup>k</sup> = k
What Keypad posted, but tidied up a bit (easier to read):
Log<sub>a</sub>b<sup>c</sup> = c * Log<sub>a</sub>b
Log<sub>a</sub>b = Log<sub>c</sub>b / Log<sub>c</sub>a
Log<sub>a</sub>b * Log<sub>b</sub>a = 1
a<sup>1/Log_b[a]</sup> = b
a = b<sup>Log_b[a]</sup>
Now they're right.
victorling
Member
haven't grey council posted this already?
Grey Council
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whoops, a few typos by me. lol, shouldn't have just copied pasted to save time. :$ hehe