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

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

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domain of f(x)=ln^{1/x}(x)

domain

f (x) = ln^{\frac{1}{x}} (x)

x \geq 1

Interval Notation

[1, \infty)

Solution steps

Find positive values for logs:

x > 0

Check exponents domain:

x \geq 1

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x \geq 1

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