What is the domain of log_{2}(8-(7-2x)/3) ?

The domain of log_{2}(8-(7-2x)/3) is x>-17/2

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domain of log_{2}(8-(7-2x)/3)

domain

lo g_{2} (8 - \frac{7 - 2 x}{3})

x > - \frac{17}{2}

Interval Notation

(- \frac{17}{2}, \infty)

Solution steps

Find positive values for logs:

x > - \frac{17}{2}

The function domain

x > - \frac{17}{2}

- \frac{1}{4} x^{3} - 4 x^{2} + 44 x + 10

v (x) = \frac{x + 10}{x + 3}

\frac{1}{x ^{2} + 7 - 4}

x^{2} - x + 6

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

What is the domain of log_{2}(8-(7-2x)/3) ?
The domain of log_{2}(8-(7-2x)/3) is x>-17/2