What is the domain of f(x)=log_{2}(log_{10}(x)) ?

The domain of f(x)=log_{2}(log_{10}(x)) is x>1

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domain of f(x)=log_{2}(log_{10}(x))

domain

f (x) = lo g_{2} (lo g_{10} (x))

x > 1

Interval Notation

(1, \infty)

Solution steps

Find positive values for logs:

x > 1

The function domain

x > 1

y = - x^{2} - 2 x

f (x) = \frac{1 + e ^{- x}}{4 e ^{x}}

y = 1 x - 1

f (x) = \frac{( x - 1 )}{( x ^{2} - 25 )}

\frac{x + 5}{x - 1}

What is the domain of f(x)=log_{2}(log_{10}(x)) ?
The domain of f(x)=log_{2}(log_{10}(x)) is x>1