What is the domain of f(x)=log_{5}(x^3) ?

The domain of f(x)=log_{5}(x^3) is x>0

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domain of f(x)=log_{5}(x^3)

domain

f (x) = lo g_{5} (x^{3})

x > 0

Interval Notation

(0, \infty)

Solution steps

Find positive values for logs:

x > 0

The function domain

x > 0

y = \frac{x ^{2} - 4}{x ^{2} - 1}

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

y = 2 x - 4 + 3

x^{3} - 3 x^{2} - 24 x - 4

x^{2} - 3 x + 6

What is the domain of f(x)=log_{5}(x^3) ?
The domain of f(x)=log_{5}(x^3) is x>0