DLS
  • DLS
Domain of this function
Mathematics
katieb
  • katieb
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DLS
  • DLS
\[\LARGE \log_2[\log_3(\log_4x)]\]
ParthKohli
  • ParthKohli
The domain of \(\log_4 x\) is _ ^_^?
DLS
  • DLS
How do we proceed? \[\log_4x>0 ~or \log_3(\log_4x)>0?\]

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DLS
  • DLS
@ParthKohli do methodwise :|
ParthKohli
  • ParthKohli
Let \(\log_3 (\log_4(x)) = a\). You have \(\log _2 (a)\). The domain of that is...?
AravindG
  • AravindG
use the domain of log in each case ..making note of what is the base,and values possible for each log function
DLS
  • DLS
@ParthKohli idk =)
ParthKohli
  • ParthKohli
Remember that in the case of logs, the domain is \(a > 0\).
DLS
  • DLS
oh yeah i know that :O
DLS
  • DLS
so?
ParthKohli
  • ParthKohli
So that is the answer to your question!
DLS
  • DLS
NO :/
ParthKohli
  • ParthKohli
You should also remember that \(\log(x) > 0\) so it is needless to say that \(a > 0\).
DLS
  • DLS
answer nahi hai wo :/
ParthKohli
  • ParthKohli
Of course that is the answer to your question.\[\{ x \in \mathbb R : x > 0\}\]
DLS
  • DLS
arre nahi hai bc :/
ParthKohli
  • ParthKohli
lol
shubhamsrg
  • shubhamsrg
log2(log3(log4x)) for log2 ( ) to be defined, log3(log4x) >0 that'll mean log4x >1 , hence x>4 ^_^
ParthKohli
  • ParthKohli
Just kidding.\[x > 4\]
DLS
  • DLS
winner
ParthKohli
  • ParthKohli
Arrey yeh Shubham jeet gaye!
shubhamsrg
  • shubhamsrg
:')
DLS
  • DLS
log3(log4x) >0 that'll mean log4x >1 , hence x>4 ??
shubhamsrg
  • shubhamsrg
yes, sahi kaha :P
DLS
  • DLS
kya matlab
ParthKohli
  • ParthKohli
Main toh bhool hi gayi thee ki bases bhi hain. lolol
shubhamsrg
  • shubhamsrg
ye to clear hai ki log3(log4x) > 0 hoga. log 1 = 0, kisi bhi base pe (except 1) hence log4x > 1 hona chaiye h a i n a ?
DLS
  • DLS
logs padade bc :/
ParthKohli
  • ParthKohli
\[\log_a b = \dfrac{\log b}{\log a}\]
DLS
  • DLS
so much win by writing that
DLS
  • DLS
http://www.dotallyrad.com/wp-content/uploads/2012/09/1912-so-much-win_inline.jpg
ParthKohli
  • ParthKohli
8-)
ParthKohli
  • ParthKohli
So much sarcasm! ^_^
DLS
  • DLS
no one failed to make me understand till now :3
DLS
  • DLS
i mean everyone failed lol
shubhamsrg
  • shubhamsrg
only one man can save they day he is right here, looking at the question, in silence! is this silence before the storm ? my dear friend, we will know soon, we all know who that person is! comeon @yrelhan4 :')
DLS
  • DLS
arre yaar tum log quality answers do :/
ParthKohli
  • ParthKohli
:-)
shubhamsrg
  • shubhamsrg
chala gay :P
shubhamsrg
  • shubhamsrg
gaya* :|
DLS
  • DLS
oh gawd i have to waste another hour on this -_- just one dam question
DLS
  • DLS
lol lololol @yrelhan4 jhand
ParthKohli
  • ParthKohli
Sorry guys I have IIT JEE at 3 am gotta go
DLS
  • DLS
\[\LARGE \log_3{(\log_4x)}>0\]
DLS
  • DLS
what next
shubhamsrg
  • shubhamsrg
abe yaar, sachin ponting dono out :/
ParthKohli
  • ParthKohli
Haan yaar, Dinesh hai :-]
DLS
  • DLS
@yrelhan4 please
shubhamsrg
  • shubhamsrg
10 overs 95 runs, banega? :/
ParthKohli
  • ParthKohli
Nahi banega!
ParthKohli
  • ParthKohli
Gayle hai na banda! 8-)
DLS
  • DLS
f u c k y o u g u y s :/ just answer it
yrelhan4
  • yrelhan4
Meri besti kregi to mai nhi btaunga aata bhi hoga to. :/
yrelhan4
  • yrelhan4
krego*
shubhamsrg
  • shubhamsrg
sharma jita dega mujhe intuition aa raha hai :)
DLS
  • DLS
merse kya dushmani hai yaar BATADO PLEASE
ParthKohli
  • ParthKohli
\[\log_3 (\log_4 x) > 0\]Dono sides ka exponentiation karo!
DLS
  • DLS
kaise karte hai hai !
shubhamsrg
  • shubhamsrg
main kabhi tumhari bezzati nahi kRERta @yrelhan4 , sach to sach hota hai :/
shubhamsrg
  • shubhamsrg
kregta*
DLS
  • DLS
STOP IT :/
shubhamsrg
  • shubhamsrg
hmm, log3(log4x)=0 hai find x ?
DLS
  • DLS
wahi puch r aha hoon kaise
ParthKohli
  • ParthKohli
Yeah, minimum value^
ParthKohli
  • ParthKohli
log ko clear karo
shubhamsrg
  • shubhamsrg
log(base 3) 1 = 0?
DLS
  • DLS
log nahi ata :P
shubhamsrg
  • shubhamsrg
"0" nahi bolna tha mujhe -_-
ParthKohli
  • ParthKohli
\[1 = \log_4 (x)\]^_^
yrelhan4
  • yrelhan4
log nhi aata to kya krega. :/
DLS
  • DLS
batao to dhang se :/
ParthKohli
  • ParthKohli
\[x = 0\]^_^
anonymous
  • anonymous
nice job
ParthKohli
  • ParthKohli
But!
DLS
  • DLS
\[\LARGE 3^{\log_3(\log_4x)}>3^0\]
DLS
  • DLS
explain how did we get this:\
ParthKohli
  • ParthKohli
Dono sides mein 3 ki power ko kar diya hai.\[a = b \implies 3^a = 3^b\]
shubhamsrg
  • shubhamsrg
a>b>=0, to x^a > x^b hai na?
DLS
  • DLS
3 se kyn kiya?
ParthKohli
  • ParthKohli
Because woh \(\log_3\) ka ulta hai!
shubhamsrg
  • shubhamsrg
yaar ye log itne gande run rate se khel rahe hain! -_-
DLS
  • DLS
3 raise to the power log3?
yrelhan4
  • yrelhan4
abbe answer de to diya usne? x>4 galat hai? :O
ParthKohli
  • ParthKohli
\[2x = 3\]\[\implies x = \dfrac{3}{2}\]2 se divide kyun kiya? Arrey bhai, 2 se multiply karne ka ulta 2 se divide karna honda hai
ParthKohli
  • ParthKohli
\[3^{\log_3 a} = a\]
DLS
  • DLS
sahi hai par dafuq :/
DLS
  • DLS
haan bus wahi sunna tha :P
DLS
  • DLS
someone teach me logs someday,ill pay $5
ParthKohli
  • ParthKohli
Iske liye itna tang kar rakha tha -_-
ParthKohli
  • ParthKohli
5 theoretical dollars?! Manzoor hai!
DLS
  • DLS
yesh! Paypal
yrelhan4
  • yrelhan4
Ok bye.
ParthKohli
  • ParthKohli
Bhaiya, ab logs ko aap intuition se dekho
yrelhan4
  • yrelhan4
@shubhamsrg Medal?
ParthKohli
  • ParthKohli
^ Demanding ladke! :-P
shubhamsrg
  • shubhamsrg
pehle bhi bataya hai maangne pe nahi deta :/
DLS
  • DLS
lol
DLS
  • DLS
padado ? C:
ParthKohli
  • ParthKohli
Dekho, \(\log_a b\) gets you a value which you raise to \(a\) to get \(b\).
DLS
  • DLS
thanks,closed
ParthKohli
  • ParthKohli
Bas yahi hote hain logs
DLS
  • DLS
:"D
ParthKohli
  • ParthKohli
Trigonometry bhi kya hoti hai? Bas 3 ratio hote hain aur kya!
DLS
  • DLS
Calculus,dy/dx
yrelhan4
  • yrelhan4
Fir se batane ke liye medal @shubhamsrg :P
ParthKohli
  • ParthKohli
Haan, aur kya, bas rate of change hi hota hai integral aur differential calculus!
DLS
  • DLS
2+2=maths
ParthKohli
  • ParthKohli
Aur kya! Maths is too simple! Bas ye pata karo ki \(1 + 1 = 2\) aur baaki derive kar lo!
DLS
  • DLS
yaar koi division sikhado
DLS
  • DLS
63/68 karke dikhado drawing se @yrelhan4 @shubhamsrg @ParthKohli
ParthKohli
  • ParthKohli
\[1 + 1 + 1 + 1\]ko\[1 + 1\]parts mein divide karo
DLS
  • DLS
mai seriously bhool gaya kaise karte hai :/
ParthKohli
  • ParthKohli
Asaan hai!|dw:1365096919950:dw|
shubhamsrg
  • shubhamsrg
1 baar 1 ladki 1 dukandaar ke paas gayi, bolo, "calculator dikhao" dukaandaar bola, "casio?" ? wo boli, " mai badhiya, aap sunao"!! ^_^
shubhamsrg
  • shubhamsrg
boli*
ParthKohli
  • ParthKohli
Thanks for the wonderful... PJ...
shubhamsrg
  • shubhamsrg
:)
DLS
  • DLS
|dw:1365097203822:dw|
ParthKohli
  • ParthKohli
|dw:1365097240971:dw|
DLS
  • DLS
thanks
ParthKohli
  • ParthKohli
Bahut raat ho gayi hai... 2 AM ho gaya hai. Bye
shubhamsrg
  • shubhamsrg
5 ovr, 60 runs, last ball tak jayega match! :O TV nahi hai mere paas :'(

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