What is the domain of log_{5}(sqrt(x)) ?

The domain of log_{5}(sqrt(x)) is x>0

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domain of log_{5}(sqrt(x))

domain

lo g_{5} (x)

x > 0

Interval Notation

(0, \infty)

Solution steps

Find positive values for logs:

x > 0

The function domain

x > 0

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

f (x) = \frac{x - 6}{x ^{2} + x - 42}

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

f (x) = \frac{7 x + 6}{x - 1}

f (x) = \frac{lo g _{10} ( x )}{x - 2}