What is the domain of f(x)=log_{log_{10}(x)}(x) ?

The domain of f(x)=log_{log_{10}(x)}(x) is 1 10

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domain of f(x)=log_{log_{10}(x)}(x)

domain

f (x) = lo g_{l o g_{10} (x)} (x)

1 < x < 10 or x > 10

Interval Notation

(1, 10) \cup (10, \infty)

Solution steps

Check logs domain:

1 < x < 10 or x > 10

The function domain

1 < x < 10 or x > 10

f (x) = 5^{- x}

f (x) = lo g_{10} (9 - x^{2})

+ \frac{4}{4 + x}

f (x) = \frac{1}{2} x

x - 4 - 4

What is the domain of f(x)=log_{log_{10}(x)}(x) ?
The domain of f(x)=log_{log_{10}(x)}(x) is 1<x<10\lor x>10