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

The domain of f(x)=log_{1/2}(log_{2}(x-3)) is x>4

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

domain

f (x) = lo g_{\frac{1}{2}} (lo g_{2} (x - 3))

x > 4

Interval Notation

(4, \infty)

Solution steps

Find positive values for logs:

x > 4

The function domain

x > 4

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

\frac{x - 4}{x ^{2} + 5 x - 36}

f (x) = \frac{- 9 x - 6}{x - 2}

f (x) = - x^{2} - 4

\frac{x ^{2} - 1}{x + 2}

What is the domain of f(x)=log_{1/2}(log_{2}(x-3)) ?
The domain of f(x)=log_{1/2}(log_{2}(x-3)) is x>4