What is the domain of f(x)= 1/(1-ln(x)) ?

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

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domain of f(x)= 1/(1-ln(x))

domain

f (x) = \frac{1}{1 - ln ( x )}

0 < x < e or x > e

Interval Notation

(0, e) \cup (e, \infty)

Solution steps

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = e

Combine real regions and undefined points for final function domain

0 < x < e or x > e

f (x) = \frac{e ^{2 x}}{x}

f (x) = 4 x^{3} - 48 x - 6

f (x) = lo g_{2} (4 x + 4)

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

7 y = 13

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