What is the domain of (ln(x))/(sqrt(x)) ?

The domain of (ln(x))/(sqrt(x)) is x>0

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domain of (ln(x))/(sqrt(x))

domain

\frac{ln ( x )}{x}

x > 0

Interval Notation

(0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x > 0

f (x) = x^{3} - 9 x

2 x^{2} - 3 x - 2

f (x) = \frac{8 - x ^{2}}{3}

y = 8

What is the domain of (ln(x))/(sqrt(x)) ?
The domain of (ln(x))/(sqrt(x)) is x>0