What is the domain of log_{4}((x-3)/x) ?

The domain of log_{4}((x-3)/x) is x 3

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domain of log_{4}((x-3)/x)

domain

lo g_{4} (\frac{x - 3}{x})

x < 0 or x > 3

Solution steps

Find positive values for logs:

x < 0 or x > 3

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or x > 3

lo g_{4} (3^{x})

4 x + y = - 2

f (x) = 25 x - 18

- \frac{1}{12} x^{2} + 2 x + 5

y = x + 3

What is the domain of log_{4}((x-3)/x) ?
The domain of log_{4}((x-3)/x) is x<0\lor x>3