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

The domain of 1/(ln(ln(x))-1) is 1 e^e

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

domain

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

1 < x < e^{e} or x > e^{e}

Interval Notation

(1, e^{e}) \cup (e^{e}, \infty)

Solution steps

Find positive values for logs:

x > 1

Find undefined (singularity) points:

x = e^{e}

Combine real regions and undefined points for final function domain

1 < x < e^{e} or x > e^{e}

\frac{( - 3 + - 4 x + 1 )}{2}

\frac{2 X}{X - 1}

f (x) = \frac{1}{3} x^{2}

y = - 6 sec (5) (x + π) + 5

f (x) = \frac{x ^{2} - 19 x - 20}{x + 5}

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