Question

The domain of the function log2log3log4(x) is

Answer 1

Here log2 means log of base 2.

Given ,
f(x)=log2(log3(log4x))

we know if f(x)=log x
x should be greater than zero.

Here, f(x) is defined for

log3(log4x)>0
⇒log4x>1
⇒x>4
∴ the domain of f(x) is

x∈(4,∞)
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