What is the domain of f(x)=log_{2}(2^{2x}) ?

The domain of f(x)=log_{2}(2^{2x}) is -infinity <x<infinity

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domain of f(x)=log_{2}(2^{2x})

domain

f (x) = lo g_{2} (2^{2 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

\frac{1}{2 + x}

f (x) = \frac{2 x ^{2} - 13 x + 15}{x - 1}

2^{x + 2} + 1

\frac{1}{x - 2}

f (x) = ∣ x - 3 ∣ + 4

What is the domain of f(x)=log_{2}(2^{2x}) ?
The domain of f(x)=log_{2}(2^{2x}) is -infinity <x<infinity