What is the domain of f(x)=log_{5}(|x|) ?

The domain of f(x)=log_{5}(|x|) is x 0

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domain of f(x)=log_{5}(|x|)

domain

f (x) = lo g_{5} (∣ x ∣)

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find positive values for logs:

x < 0 or x > 0

The function domain

x < 0 or x > 0

\frac{3}{x - 1}

\frac{x ^{2} + 4}{x ^{2} - 4}

f (x) = \frac{ln ( x )}{x ^{2}}

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

4 - x - x^{2} - 1

What is the domain of f(x)=log_{5}(|x|) ?
The domain of f(x)=log_{5}(|x|) is x<0\lor x>0