What is the domain of f(x)=log_{5}(x-3) ?

The domain of f(x)=log_{5}(x-3) is x>3

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domain of f(x)=log_{5}(x-3)

domain

f (x) = lo g_{5} (x - 3)

x > 3

Interval Notation

(3, \infty)

Solution steps

Find positive values for logs:

x > 3

The function domain

x > 3

f (x) = \frac{x ^{2} - 3 x - 4}{21 - x ^{2} - 4}

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

y = x^{2} + x + 1

- 8 x + 6

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

What is the domain of f(x)=log_{5}(x-3) ?
The domain of f(x)=log_{5}(x-3) is x>3