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

The domain of f(x)=log_{4}(x-3) is x>3

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domain of f(x)=log_{4}(x-3)

domain

f (x) = lo g_{4} (x - 3)

x > 3

Interval Notation

(3, \infty)

Solution steps

Find positive values for logs:

x > 3

The function domain

x > 3

f (x) = ln (x + 8)

f (x) = \frac{( 2 x ^{2} - 6 x + 4 )}{( - 3 x - 5 )}

4 cos (\frac{1}{x})

\frac{1}{x ^{2} - x - 6}

f (x) = \frac{x ^{2}}{4}

What is the domain of f(x)=log_{4}(x-3) ?
The domain of f(x)=log_{4}(x-3) is x>3