What is the domain of f(x)= 1/2 log_{10}(3x) ?

The domain of f(x)= 1/2 log_{10}(3x) is x>0

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domain of f(x)= 1/2 log_{10}(3x)

domain

f (x) = \frac{1}{2} lo g_{10} (3 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 + 1}{x ^{3} - 4 x}

f (x) = \frac{9}{x ^{2} - 7 x}

\frac{x - 1}{x - 4}

f (x) = 25 - x^{2}

f (x) = \frac{( e ^{x} )}{1 - e ^{x}}

What is the domain of f(x)= 1/2 log_{10}(3x) ?
The domain of f(x)= 1/2 log_{10}(3x) is x>0