What is the domain of f(x)=ln((sqrt(x))/(x-3)) ?

The domain of f(x)=ln((sqrt(x))/(x-3)) is x>3

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domain of f(x)=ln((sqrt(x))/(x-3))

domain

f (x) = ln (\frac{x}{x - 3})

x > 3

Interval Notation

(3, \infty)

Solution steps

Find positive values for logs:

x > 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x > 3

x^{2} + 1 x - 3

\frac{3}{a - 6}

4 sin^{2} (x)

(\frac{4}{5})^{x}

x + 9

What is the domain of f(x)=ln((sqrt(x))/(x-3)) ?
The domain of f(x)=ln((sqrt(x))/(x-3)) is x>3