what is the range of $y = \\log_2(x - 6)$?\nall real numbers not equal to 0\nall real numbers less than…

Explanation:

Step1: Recall the property of logarithmic functions

The general form of a logarithmic function is $y = \log_a(u)$, where $a>0,a\neq1$ and $u>0$. For the function $y=\log_2(x - 6)$, the domain is $x-6>0$ or $x > 6$. But we are looking for the range.

Step2: Analyze the behavior of the logarithmic function

The logarithmic function $y=\log_2(u)$ can take on any real - valued output. As $u$ (in our case $u=x - 6$) varies over the positive real numbers (since $x>6$ means $u=x - 6>0$), the function $y=\log_2(u)$ can output any real number. When $u$ approaches $0$ from the right, $y=\log_2(u)\to-\infty$, and as $u\to+\infty$, $y=\log_2(u)\to+\infty$.

Answer:

D. all real numbers