Question

Domain of this function

Answer 1

\[\LARGE \log_2[\log_3(\log_4x)]\]

Answer 2

The domain of \(\log_4 x\) is _ ^_^?

Answer 3

How do we proceed?
\[\log_4x>0 ~or \log_3(\log_4x)>0?\]

Answer 4

@ParthKohli do methodwise :|

Answer 5

Let \(\log_3 (\log_4(x)) = a\). You have \(\log _2 (a)\). The domain of that is...?

Answer 6

use the domain of log in each case ..making note of what is the base,and values possible for each log function

Answer 7

@ParthKohli idk =)

Answer 8

Remember that in the case of logs, the domain is \(a > 0\).

Answer 9

oh yeah i know that :O

Answer 10

so?

Answer 11

So that is the answer to your question!

Answer 12

NO :/

Answer 13

You should also remember that \(\log(x) > 0\) so it is needless to say that \(a > 0\).

Answer 14

answer nahi hai wo :/

Answer 15

Of course that is the answer to your question.\[\{ x \in \mathbb R : x > 0\}\]

Answer 16

arre nahi hai bc :/

Answer 17

lol

Answer 18

log2(log3(log4x))

for log2 ( ) to be defined,
log3(log4x) >0

that'll mean log4x >1 ,
hence x>4

^_^

Answer 19

Just kidding.\[x > 4\]

Answer 20

winner

Answer 21

Arrey yeh Shubham jeet gaye!

Answer 22

:')

Answer 23

log3(log4x) >0

that'll mean log4x >1 ,
hence x>4
??

Answer 24

yes, sahi kaha

:P

Answer 25

kya matlab

Answer 26

Main toh bhool hi gayi thee ki bases bhi hain. lolol

Answer 27

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
?

Answer 28

logs padade bc :/

Answer 29

\[\log_a b = \dfrac{\log b}{\log a}\]

Answer 30

so much win by writing that

Answer 31

http://www.dotallyrad.com/wp-content/uploads/2012/09/1912-so-much-win_inline.jpg

Answer 32

8-)

Answer 33

So much sarcasm! ^_^

Answer 34

no one failed to make me understand till now :3

Answer 35

i mean everyone failed lol

Answer 36

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 :')

Answer 37

arre yaar tum log quality answers do :/

Answer 38

:-)

Answer 39

chala gay :P

Answer 40

gaya* :|

Answer 41

oh gawd i have to waste another hour on this -_- just one dam question

Answer 42

lol lololol @yrelhan4 jhand

Answer 43

Sorry guys I have IIT JEE at 3 am gotta go

Answer 44

\[\LARGE \log_3{(\log_4x)}>0\]

Answer 45

what next

Answer 46

abe yaar,
sachin ponting dono out :/

Answer 47

Haan yaar, Dinesh hai :-]

Answer 48

@yrelhan4 please

Answer 49

10 overs 95 runs, banega? :/

Answer 50

Nahi banega!

Answer 51

Gayle hai na banda! 8-)

Answer 52

f u c k y o u g u y s :/ just answer it

Answer 53

Meri besti kregi to mai nhi btaunga aata bhi hoga to. :/

Answer 54

krego*

Answer 55

sharma jita dega mujhe intuition aa raha hai :)

Answer 56

merse kya dushmani hai yaar BATADO PLEASE

Answer 57

\[\log_3 (\log_4 x) > 0\]Dono sides ka exponentiation karo!

Answer 58

kaise karte hai hai !

Answer 59

main kabhi tumhari bezzati nahi kRERta @yrelhan4 , sach to sach hota hai :/

Answer 60

kregta*

Answer 61

STOP IT :/

Answer 62

hmm,
log3(log4x)=0 hai
find x ?

Answer 63

wahi puch r aha hoon kaise

Answer 64

Yeah, minimum value^

Answer 65

log ko clear karo

Answer 66

log(base 3) 1 = 0?

Answer 67

log nahi ata :P

Answer 68

"0" nahi bolna tha mujhe -_-

Answer 69

\[1 = \log_4 (x)\]^_^

Answer 70

log nhi aata to kya krega. :/

Answer 71

batao to dhang se :/

Answer 72

\[x = 0\]^_^

Answer 73

nice job

Answer 74

But!

Answer 75

\[\LARGE 3^{\log_3(\log_4x)}>3^0\]

Answer 76

explain how did we get this:\

Answer 77

Dono sides mein 3 ki power ko kar diya hai.\[a = b \implies 3^a = 3^b\]

Answer 78

a>b>=0,

to x^a > x^b
hai na?

Answer 79

3 se kyn kiya?

Answer 80

Because woh \(\log_3\) ka ulta hai!

Answer 81

yaar ye log itne gande run rate se khel rahe hain! -_-

Answer 82

3 raise to the power log3?

Answer 83

abbe answer de to diya usne? x>4 galat hai? :O

Answer 84

\[2x = 3\]\[\implies x = \dfrac{3}{2}\]2 se divide kyun kiya? Arrey bhai, 2 se multiply karne ka ulta 2 se divide karna honda hai

Answer 85

\[3^{\log_3 a} = a\]

Answer 86

sahi hai par dafuq :/

Answer 87

haan bus wahi sunna tha :P

Answer 88

someone teach me logs someday,ill pay $5

Answer 89

Iske liye itna tang kar rakha tha -_-

Answer 90

5 theoretical dollars?! Manzoor hai!

Answer 91

yesh! Paypal

Answer 92

Ok bye.

Answer 93

Bhaiya, ab logs ko aap intuition se dekho

Answer 94

@shubhamsrg Medal?

Answer 95

^ Demanding ladke! :-P

Answer 96

pehle bhi bataya hai maangne pe nahi deta :/

Answer 97

lol