What is the domain of f(x)= 1/(log_{10)(x)-7} ?

The domain of f(x)= 1/(log_{10)(x)-7} is 0 10000000

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domain of f(x)= 1/(log_{10)(x)-7}

domain

f (x) = \frac{1}{lo g _{10} ( x ) - 7}

0 < x < 10000000 or x > 10000000

Interval Notation

(0, 10000000) \cup (10000000, \infty)

Solution steps

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = 10000000

Combine real regions and undefined points for final function domain

0 < x < 10000000 or x > 10000000

f (x) = 5 x^{4} - 4 x^{3} + 2 x^{2} - 10 x + 8

f (x) = (x - 5) (x^{2} - 10 x - 50)

\frac{x - 1}{x ^{2} - 4 x + 3}

y = \frac{2}{x + 1}

x + ∣ x ∣

What is the domain of f(x)= 1/(log_{10)(x)-7} ?
The domain of f(x)= 1/(log_{10)(x)-7} is 0<x<10000000\lor x>10000000