What is the domain of log_{10}(|x-1|) ?

The domain of log_{10}(|x-1|) is x 1

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domain of log_{10}(|x-1|)

domain

lo g_{10} (∣ x - 1 ∣)

x < 1 or x > 1

Interval Notation

(- \infty, 1) \cup (1, \infty)

Solution steps

Find positive values for logs:

x < 1 or x > 1

The function domain

x < 1 or x > 1

(x) (e^{\frac{5 - x}{4}})

\frac{5 x - 8}{2 x + 3}

h (x) = \frac{( x - 2 )}{( 3 x + 4 )}

x^{2} - 100

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

What is the domain of log_{10}(|x-1|) ?
The domain of log_{10}(|x-1|) is x<1\lor x>1