What is the domain of f(x)=log_{10}(3/((x-3))) ?

The domain of f(x)=log_{10}(3/((x-3))) is x>3

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domain of f(x)=log_{10}(3/((x-3)))

domain

f (x) = lo g_{10} (\frac{3}{( x - 3 )})

x > 3

Interval Notation

(3, \infty)

Solution steps

Find positive values for logs:

x > 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x > 3

\frac{6}{[ \frac{1}{3} ( x + ∣ x ∣ ) ]}

\frac{3 x + ∣ x ∣}{x}

f (x) = \frac{\frac{5}{x + 8}}{\frac{9}{x}}

f (x) = (\frac{2 x}{( x + 4 ) ( x - 9 )})

f (x) = csc (\frac{2 π}{7}) x - 2

What is the domain of f(x)=log_{10}(3/((x-3))) ?
The domain of f(x)=log_{10}(3/((x-3))) is x>3