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

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

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

domain

f (x) = \frac{1}{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

(x - 2)^{2} + 5

(x - 2)^{2} + 2

(x - 2)^{2} - 4

f (x) = lo g_{10} (∣ 3 x + 6 ∣)

\frac{2 + x - x ^{2}}{( x - 1 ) ^{2}}

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