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

The domain of (ln(x))/(x-3) is 0 3

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

domain

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

0 < x < 3 or x > 3

Interval Notation

(0, 3) \cup (3, \infty)

Solution steps

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

0 < x < 3 or x > 3

f (x) = \frac{x - 9}{x - 64}

f (x) = 1 + 5 + 9 x

\frac{ln ( \frac{x}{8} )}{0.1}

y = \frac{x - 2 + 2}{x ^{2} - 9}

f (x) = \frac{3}{5} x^{4} + \frac{3}{5} x^{3} + x^{2}

What is the domain of (ln(x))/(x-3) ?
The domain of (ln(x))/(x-3) is 0<x<3\lor x>3