What is the domain of f(x)=(ln(x))/(x-2) ?

The domain of f(x)=(ln(x))/(x-2) is 0 2

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domain of f(x)=(ln(x))/(x-2)

domain

f (x) = \frac{ln ( x )}{x - 2}

0 < x < 2 or x > 2

Interval Notation

(0, 2) \cup (2, \infty)

Solution steps

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

0 < x < 2 or x > 2

What is the domain of f(x)=(ln(x))/(x-2) ?
The domain of f(x)=(ln(x))/(x-2) is 0<x<2\lor x>2