what is the range of $y = \\log_2(x - 6)$?\no all real numbers not equal to 0\no all real numbers less than…

Explanation:

Step1: Recall log - function property

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 of (x) is (x>6) (since (x−6>0)).

Step2: Analyze the range

The logarithmic function (y = \log_{a}u) can take on all real - values. As (u=x - 6) can take on all positive real values (since (x>6)), and the function (y=\log_{2}u) is a continuous function for (u>0). When (u) approaches (0) from the right ((u\rightarrow0^{+})), (y=\log_{2}u\rightarrow-\infty), and as (u\rightarrow+\infty), (y=\log_{2}u\rightarrow+\infty).

Answer:

all real numbers