Question

the domain of the function...

Answer 1

3

log3=3

log4=4
(3,4)

Domain is value on x axis
therefore answer is 3

Answer 2

y = log2 log3 log4 (x)

for log to be defined ,

{ x> 0
{ log{ x base 4 } > 0
x > 1

{ log{ (log(x base 4) base 3 } > 0
log{ x base 4 } > 1

x > 4

now,
we have ,
x > 0
x > 1
x > 4

take intersection of it

we get , x > 4

hence, domain € ( 4 , ∞)

so, answer is option D