What is the domain of f(x)=log_{3}(4^x) ?

The domain of f(x)=log_{3}(4^x) is -infinity <x<infinity

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domain of f(x)=log_{3}(4^x)

domain

f (x) = lo g_{3} (4^{x})

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Find positive values for logs:

- \infty < x < \infty

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

f (x) = \frac{1}{6 x - 3.2 x ^{2}}

f (x) = x^{3} - x - 8

\frac{x}{x ^{2} - 9}

f (x) = - 7 x - 4

4 x - 8

What is the domain of f(x)=log_{3}(4^x) ?
The domain of f(x)=log_{3}(4^x) is -infinity <x<infinity