Answer
Domain: $x\gt0$ or $(0,∞)$
x-intercept: $(148.413,0)$
$x=0$ (y-axis) is the vertical asymptote.
Work Step by Step
$f(x)=\ln x-5$
Domain: $x\gt0$ or $(0,∞)$
x-intercept:
$f(x)=\ln x-5=0$
$\ln x=5$
$e^{\ln x}=e^5$ (Using the Inverse Property $e^{\ln x}=x$):
$x=148.413~~$ So, the x-intercept point is $(148.413,0)$
$\ln x→−∞$ when $x→0^+$. Then $x=0$ (y-axis) is the vertical asymptote.
