What is the domain of log_{4}(x^2-4) ?

The domain of log_{4}(x^2-4) is x 2

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domain of log_{4}(x^2-4)

domain

lo g_{4} (x^{2} - 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

The function domain

x < - 2 or x > 2

f (x) = lo g_{x} (2)

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

y = (x + 4)^{2} - \frac{5}{2}

y = \frac{1}{3} e^{x - 2} + 2

f (x) = 4 x - 5 + 1

What is the domain of log_{4}(x^2-4) ?
The domain of log_{4}(x^2-4) is x<-2\lor x>2