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

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

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

domain

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

x < \frac{2}{3}

Interval Notation

(- \infty, \frac{2}{3})

Solution steps

Find positive values for logs:

x < \frac{2}{3}

The function domain

x < \frac{2}{3}

f (x) = \frac{x + 1}{x ^{2} + 4}

f (x) = 2 x^{2} + 8 x + 6

\frac{7 x - 2}{4 x + 5}

f (x) = ∣ ln (x - 1) ∣

\frac{3}{2 x}

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