First slide

Functions (XII)

Question

The domain of the function f (x) = log₂ log₃ log₄ x is

Moderate

A

[4, ∞)
B

(4, ∞)
C

(– ∞, 4)
D

None of these

Solution

f (x) is defined if log₃ log₄ x > 0, log₄ x > 0 and x > 0
$\begin{array}{l} \Rightarrow \log_{4} x > 3^{\circ} = 1, x > 4^{\circ} and x > 0 \\ \Rightarrow x > 4^{1}, x > 1 and x > 0 \Rightarrow x > 4 \end{array}$
Domain of f = (4, ∞).

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