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Popular >

domain of y=log_{a}(x)

Solution

domain

y = lo g_{a} (x)

Solution

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

+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)

Popular Examples

domain of f(x)=5sqrt(x)+1 domain

f (x) = 5 x + 1

inverse of f(x)=4+sqrt(3x-2)inverse

f (x) = 4 + 3 x - 2

monotone x^3-11x^2+39x-47 monotone intervals

x^{3} - 11 x^{2} + 39 x - 47

domain of f(x)=2x+2 domain

f (x) = 2 x + 2

domain of f(x)=x^2 domain

f (x) = x^{2}

Frequently Asked Questions (FAQ)

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