What is the domain of y=log_{3}(x^2-4) ?

The domain of y=log_{3}(x^2-4) is x 2

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domain of y=log_{3}(x^2-4)

domain

y = lo g_{3} (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

y = - 1 + 9

f (x) = \frac{x ^{2} + 5 x + 6}{x + 4}

f (x) = - lo g_{5} (x - 6) - 3

3 x - \frac{5}{4}

What is the domain of y=log_{3}(x^2-4) ?
The domain of y=log_{3}(x^2-4) is x<-2\lor x>2