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Popular >

domain of y=log_{b}(x)

Solution

domain

y = lo g_{b} (x)

Solution

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

+1

Interval Notation

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

Solution steps

Check logs domain:

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

The function domain

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

Popular Examples

domain of 1/x+3/(5x)domain

\frac{1}{x} + \frac{3}{5 x}

domain of x=t^2 domain

x = t^{2}

domain of f(x)= 1/(sqrt(x^2+4))domain

f (x) = \frac{1}{x ^{2} + 4}

domain of y=(x^2-x+6)/(x-2)domain

y = \frac{x ^{2} - x + 6}{x - 2}

domain of f(x)=(x^2+x-2)/((x+3)^2)domain

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

Frequently Asked Questions (FAQ)

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