What is the domain of f(x)=log_{6}(x^2-16) ?

The domain of f(x)=log_{6}(x^2-16) is x 4

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domain of f(x)=log_{6}(x^2-16)

domain

f (x) = lo g_{6} (x^{2} - 16)

x < - 4 or x > 4

Interval Notation

(- \infty, - 4) \cup (4, \infty)

Solution steps

Find positive values for logs:

x < - 4 or x > 4

The function domain

x < - 4 or x > 4

f (x) = ln (x^{2} - 4 x)

lo g_{3} (\frac{x + 1}{x - 5})

lo g_{10} (x^{2} - 4)

- \frac{1}{x ^{2} + 6 x - 7}

\frac{2}{3} x - 4

What is the domain of f(x)=log_{6}(x^2-16) ?
The domain of f(x)=log_{6}(x^2-16) is x<-4\lor x>4