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

The domain of f(x)= x/(ln(x)) is 0 1

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

domain

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

0 < x < 1 or x > 1

Interval Notation

(0, 1) \cup (1, \infty)

Solution steps

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

0 < x < 1 or x > 1

What is the domain of f(x)= x/(ln(x)) ?
The domain of f(x)= x/(ln(x)) is 0<x<1\lor x>1