Question

find the domain of the function $y = \log_{4}(8 - x)$. select one: a. $(8, \infty)$ b. $(-\infty, \infty)$ c. $(4, \infty)$ d. $(-\infty, 8)$

Explanation:

Step1: Set argument > 0

For logarithms $\log_b(x)$, $x>0$. So:
$8 - x > 0$

Step2: Solve the inequality

Rearrange to isolate $x$:
$x < 8$

Answer:

D. $(-\infty,8)$