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

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

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

domain

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

x > 5

Interval Notation

(5, \infty)

Solution steps

Find positive values for logs:

x > 5

The function domain

x > 5

p (x) = 3 x + 12

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

∣ x ∣ + x + 2

y = lo g_{10} (6 + 6 x)

f (x) = \frac{( x - 2 )}{x + 1}

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