What is the domain of x/(1-ln(x-5)) ?

The domain of x/(1-ln(x-5)) is 5 e+5

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domain of x/(1-ln(x-5))

domain

\frac{x}{1 - ln ( x - 5 )}

5 < x < e + 5 or x > e + 5

Interval Notation

(5, e + 5) \cup (e + 5, \infty)

Solution steps

Find positive values for logs:

x > 5

Find undefined (singularity) points:

x = e + 5

Combine real regions and undefined points for final function domain

5 < x < e + 5 or x > e + 5

7 x + 10 y = 3

y = \frac{1}{x ^{4}}

\frac{x}{x - 9}

\frac{x}{x ^{2} + 2}

f (x) = \frac{4}{x} + 3

What is the domain of x/(1-ln(x-5)) ?
The domain of x/(1-ln(x-5)) is 5<x<e+5\lor x>e+5