What is the domain of log_{2}(log_{3}(log_{4}(x))) ?

The domain of log_{2}(log_{3}(log_{4}(x))) is x>4

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domain of log_{2}(log_{3}(log_{4}(x)))

domain

lo g_{2} (lo g_{3} (lo g_{4} (x)))

x > 4

Interval Notation

(4, \infty)

Solution steps

Find positive values for logs:

x > 4

The function domain

x > 4

f (x) = \frac{12 x ^{2} + x}{x ^{2} + 4}

f (x) = 6 - 3 x

\frac{10}{x ^{2} + 25} + 5

f (x) = \frac{2 x + 1}{6 - 3 x}

f (x) = x^{2} - 1 \cdot 3 - x

What is the domain of log_{2}(log_{3}(log_{4}(x))) ?
The domain of log_{2}(log_{3}(log_{4}(x))) is x>4