What is the domain of f(x)=log_{8}(1-4x) ?

The domain of f(x)=log_{8}(1-4x) is x< 1/4

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domain of f(x)=log_{8}(1-4x)

domain

f (x) = lo g_{8} (1 - 4 x)

x < \frac{1}{4}

Interval Notation

(- \infty, \frac{1}{4})

Solution steps

Find positive values for logs:

x < \frac{1}{4}

The function domain

x < \frac{1}{4}

f (x) = - 10

x + 5 - \frac{3 - x}{x}

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

\frac{2 x ^{3} - x ^{2} - 18 x + 9}{x ^{2} + 4 x + 3}

f (x) = - 4 x^{2} + 16 x - 10

What is the domain of f(x)=log_{8}(1-4x) ?
The domain of f(x)=log_{8}(1-4x) is x< 1/4