Find domain and vertical asymptote of $LaTeX: \displaystyle f(x) = \ln{\left(x - 7 \right)} + 5$

The base function $LaTeX: \displaystyle \ln(x)$ has vertical asymptote $LaTeX: \displaystyle x =0$ and domain $LaTeX: \displaystyle (0, \infty)$ . $LaTeX: \displaystyle f(x)$ is shifted 7 units right and 5 units up. This gives the vertical asymptote as $LaTeX: \displaystyle x = 7$ and the domain as $LaTeX: \displaystyle (7, \infty)$