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

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

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

domain

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

x > 6

Interval Notation

(6, \infty)

Solution steps

Find positive values for logs:

x > 6

The function domain

x > 6

30 - 4 x - 2 x^{2}

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

\frac{5 x ^{3} - 9}{x ^{3} + 13 x ^{2} + 42 x}

f (x) = \frac{4 x}{5 ( x - 1 ) ( x - 8 )}

5 x + 25

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