What is the domain of f(x)=(ln(x))^{ln(x)} ?

The domain of f(x)=(ln(x))^{ln(x)} is x>1

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domain of f(x)=(ln(x))^{ln(x)}

domain

f (x) = (ln (x))^{l n (x)}

x > 1

Interval Notation

(1, \infty)

Solution steps

Find positive values for logs:

x > 0

Check exponents domain:

x > 1

Combine real regions and undefined points for final function domain

x > 1

\frac{x ^{3}}{( 4 - x ) ^{2}}

4 x^{2} - 9

f (x) = x^{2} - 6 x + 9

f (x) = arccos (x^{2} - 3)

y = \frac{5 x}{2 x - 7}

What is the domain of f(x)=(ln(x))^{ln(x)} ?
The domain of f(x)=(ln(x))^{ln(x)} is x>1