Answer
See graph
Work Step by Step
Given \begin{equation}
y=\log _7 x.
\end{equation} This is a logarithmic function with some restrictions on the domain. The domain is all real positive numbers. It only has a horizontal intercept with no vertical intercept.
\begin{equation}
\begin{aligned}
x&=1\\
y&= 0.
\end{aligned}
\end{equation} The graph of the function is shown in the figure below with the $x$-intercept labelled.