what is the range of $y = \\log_{8}x$?\nall real numbers less than 0\nall real numbers greater than 0\nall…

Explanation:

Step1: Recall the properties of logarithmic functions

The general form of a logarithmic function is $y = \log_{a}x$, where $a>0,a\neq1$ and $x>0$. The domain of $y = \log_{8}x$ is $x>0$.

Step2: Analyze the behavior of the function

As $x$ approaches $0$ from the right - hand side ($x\rightarrow0^{+}$), $\log_{8}x\rightarrow-\infty$. As $x$ approaches $+\infty$, $\log_{8}x\rightarrow+\infty$. Since the logarithmic function $y = \log_{8}x$ is a continuous function for $x\in(0,+\infty)$, it can take on any real - valued output.

Answer:

all real numbers