What is the domain of ln((4x-8)/(2x+4)) ?

The domain of ln((4x-8)/(2x+4)) is x 2

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domain of ln((4x-8)/(2x+4))

domain

ln (\frac{4 x - 8}{2 x + 4})

x < - 2 or x > 2

Interval Notation

(- \infty, - 2) \cup (2, \infty)

Solution steps

Find positive values for logs:

x < - 2 or x > 2

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x < - 2 or x > 2

f (x) = \frac{- 1}{sin ( x )}

f (x) = \frac{1 - x}{x - 2}

f (x) = \frac{x - 7}{x + 4}

f (x) = - a \frac{1}{4} (x + 6) - 4

4 - 4 - x

What is the domain of ln((4x-8)/(2x+4)) ?
The domain of ln((4x-8)/(2x+4)) is x<-2\lor x>2