What is the domain of f(x)=log_{a}(x) ?

The domain of f(x)=log_{a}(x) is x>0\land (0 1)

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domain of f(x)=log_{a}(x)

domain

f (x) = lo g_{a} (x)

x > 0 and (0 < a < 1 or a > 1)

Interval Notation

x \in (0, \infty) \cap (a \in (0, 1) \cup a \in (1, \infty))

Solution steps

Check logs domain:

x > 0 and (0 < a < 1 or a > 1)

The function domain

x > 0 and (0 < a < 1 or a > 1)

f (x) = \frac{x + 4}{x - 3}

(0, - 4), (2, 4)

x^{2} + 1

g (x) = \frac{1}{3 - x}

f (x) = \frac{7 + x}{e ^{c o s (x)}}

What is the domain of f(x)=log_{a}(x) ?
The domain of f(x)=log_{a}(x) is x>0\land (0<a<1\lor a>1)