What is the domain of y= x/(1-ln(x-8)) ?

The domain of y= x/(1-ln(x-8)) is 8 e+8

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domain of y= x/(1-ln(x-8))

domain

y = \frac{x}{1 - ln ( x - 8 )}

8 < x < e + 8 or x > e + 8

Interval Notation

(8, e + 8) \cup (e + 8, \infty)

Solution steps

Find positive values for logs:

x > 8

Find undefined (singularity) points:

x = e + 8

Combine real regions and undefined points for final function domain

8 < x < e + 8 or x > e + 8

f (x) = - (x - 1)^{3} + 27

3 e^{- x} - 2

3 - 2 lo g_{10} (x + 3)

f (x) = ∣ 2 x - 19 ∣

\frac{( y ^{2} - 3 y - 40 )}{( y ^{2} + 9 + 20 )}

What is the domain of y= x/(1-ln(x-8)) ?
The domain of y= x/(1-ln(x-8)) is 8<x<e+8\lor x>e+8