What is the domain of (ln(x-1))/((x-1)^3) ?

The domain of (ln(x-1))/((x-1)^3) is x>1

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domain of (ln(x-1))/((x-1)^3)

domain

\frac{ln ( x - 1 )}{( x - 1 ) ^{3}}

x > 1

Interval Notation

(1, \infty)

Solution steps

Find positive values for logs:

x > 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x > 1

y = 4 x

f (x) = (x - 1) (x - 3)

f (x) = arctan (t + 1)

f (x) = 8 x^{2} + 1 - x

f (x) = x^{2} + 3

What is the domain of (ln(x-1))/((x-1)^3) ?
The domain of (ln(x-1))/((x-1)^3) is x>1