What is the domain of f(x)=(5ln(x))/(x^3) ?

The domain of f(x)=(5ln(x))/(x^3) is x>0

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domain of f(x)=(5ln(x))/(x^3)

domain

f (x) = \frac{5 ln ( x )}{x ^{3}}

x > 0

Interval Notation

(0, \infty)

Solution steps

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x > 0

f (x) = 2 x - 2

f (x) = \frac{2 x + 5}{x ^{2} - 1}

f (x) = (x + 3)^{2}

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

f (x) = \frac{2 - x}{3 x ^{3} + 4 x ^{2}}

What is the domain of f(x)=(5ln(x))/(x^3) ?
The domain of f(x)=(5ln(x))/(x^3) is x>0