What is the domain of the function \(f(x)=\log_2(\log_3(\log_4x))\)?
We cannot take the log of 0 or a negative
So....the domain is (0, inf )
Yeah..I see what you mean..let me think about this
If x = 4
Log 3 ( 1) = 0
So if x > 4
log 4 ( x) > 1
So log3 ( x > 1) will be > 0
So log 2 (something > 0) will exist
So...I think you are correct macar0ni .... (4, inf) !!!
THX for pointing this one out to me ......just proves I shouldn't be too hasty with my answers without thinking them through !!!!