What is the domain of f(x)=log_{2}(2/3 x-4) ?

The domain of f(x)=log_{2}(2/3 x-4) is x>6

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domain of f(x)=log_{2}(2/3 x-4)

domain

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

x > 6

Interval Notation

(6, \infty)

Solution steps

Find positive values for logs:

x > 6

The function domain

x > 6

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

f (x) = 10 - 2 x + 3 x - 1

f (x) = x + 3 - \frac{1 - x}{x}

f (x) = \frac{5 - 2 x}{- 7 x}

f (x) = 6 x + 12

What is the domain of f(x)=log_{2}(2/3 x-4) ?
The domain of f(x)=log_{2}(2/3 x-4) is x>6