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

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

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

domain

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

x > 3

Interval Notation

(3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 3

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x > 3

- \frac{3}{4 x}

f (x) = [- 4.5]

f (x) = 2 x - 4 - 4

3 (x - 4)^{2} + 5

f (x) = \frac{2 x}{x + 5} - 1

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