What is the domain of-\sqrt[3]{4/(ln(x)-1)} ?

The domain of-\sqrt[3]{4/(ln(x)-1)} is 0 e

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domain of-\sqrt[3]{4/(ln(x)-1)}

domain

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) = x^{2} - 4 x + 2

f (x) = 4^{x} + 5 + 5

g (x) = x

f (x) = - x^{2} + x + 2

f (x) = 4 x^{2} + 7 x - 19

What is the domain of-\sqrt[3]{4/(ln(x)-1)} ?
The domain of-\sqrt[3]{4/(ln(x)-1)} is 0<x<e\lor x>e