What is the domain of f(x)=log_{10}(2x-4) ?

The domain of f(x)=log_{10}(2x-4) is x>2

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domain of f(x)=log_{10}(2x-4)

domain

f (x) = lo g_{10} (2 x - 4)

x > 2

Interval Notation

(2, \infty)

Solution steps

Find positive values for logs:

x > 2

The function domain

x > 2

f (x) = 3 + 6 x - 3

\frac{( x ^{3} )}{( 4 x ^{2} + 17 x - 15 )}

f (x) = \frac{7}{3 - 6 x}

f (x) = \frac{2 x ^{3}}{x ^{2} - 4}

f (x) = x - 36

What is the domain of f(x)=log_{10}(2x-4) ?
The domain of f(x)=log_{10}(2x-4) is x>2