Cool log question!

[SilverSprite]

Solve for N!

[SilverSprite]

Come on guys nobody feels like answering posts anymore?

[A$$Bandit]

It's 2. Don't insult me by asking me to prove it.

[SilverSprite]

Your really starting to annoy me!

[A$$Bandit]

I would point out that it's "you're" not "your", but you'd be right - that WOULD be annoying.

[SilverSprite]

Oh and guess what, i dont really care about spelling when i'm doing my homework so quiet down. How old are you again? 25? Wonder how come your not that much better than me and your 10 years older.

[A$$Bandit]

Actually I'm 16. And I did imply at the top of the cubic functions thread that if you did genuinely want a bit of advice or help, then that was fine by me. The long overdue explanation of "Don't insult me by asking me to prove it." is because people on this forum often take something obvious and say "ooh well u got it right but u didnt prove it so piss off", and that kind of thing pisses me off. No hard feelings or anything.

[SilverSprite]

meh

[A$$Bandit]

You don't show up on the "Users browsing this forum" list... that's weird...

[SilverSprite]

Yeah i've been told. Why are you looking?

[A$$Bandit]

I always look to see who's here...

[NotLKH]

I pointed that out a bit ago!



The "Whos Online" has a bug!

[DiGiTaIErRoR]

N = 1604.51153955

[SilverSprite]

???

[A$$Bandit]

You're out by 1602.51153955

[SilverSprite]

Where did you get that monster number from?

[Geespot]

Originally posted by SilverSprite
Oh and guess what, i dont really care about spelling when i'm doing my homework so quiet down. How old are you again? 25? Wonder how come your not that much better than me and your 10 years older.

Dont you ever do your own homework lol?

[SilverSprite]

haha funny . Actually it was my science. Not math guy. Nice try though, i didn't know they taught logs in grade 10.

[DavidHooper]

I would point out that it's "you're" not "your"

Absolute classic Bandit - you rock

Note to Sprite: No offence proffered.

[Knowledge_is_Et]

You can learn logs in 9th grade in california...If you are good enough. I learned them last year, in tenth.

[sql_lall]

Yeah, even in AUS, we also learn logs in yr 10, though not really anything except base 10 and e. However, not even Yr 12 do it that much, just graphing it.

N = x + y + z
Where:
x = log₂₀₀₂ 11²
y = log₂₀₀₂ 13²
z = log₂₀₀₂ 14²

I'm not sure if i'm right, but his means:
2002^x = 121
2002^y = 169
2002^z = 196

=>2002^x *2002^y *2002^z = 4008004
=> 2002^(x+y+z) = 2002²
=> x + y + z = 2, N = 2 (as N = x + y + z)

TADA!!!! (From a Year 10)
BTW, if f(x) = log₂₀₀₂ x^k
then N = k ('cos 11 * 13 * 14 = 2002)

Also, what were Qs 1-13??? This wasn't from a 2002 Olympiad or anything was it??

[A$$Bandit]

I have no idea which grades relate to which ages, but I was first actually taught logarithms in class when I was 15. The way I did it:

N = log₂₀₀₂121 + log₂₀₀₂169 + log₂₀₀₂196
N = (log121/log2002) + (log169/log2002) + (log196/log2002)
N = 0.6308... + 0.6748... + 0.6943... = 2

[sql_lall]

Yeah, over here year 10 roughly = 15 yo, (though there are some old 16s and young 14s, as you can probably guess)
Just wondering, how did you figure out:
(log121/log2002) + (log169/log2002) + (log196/log2002)
= 2
without a calculator??

Or, are calculators allowed. (if so, the this question would definitely be easy :P )

Oh, and AMC = American Maths Competition??, 'cos over here AMC = Australian Maths Competition, and is sort of easy (Only time a problem), whereas the hardes comp here is the AMO (Australian Maths Olymiad)