Chapter 5 - 5.2 - Logarithmic Functions and Their Graphs - 5.2 Exercises - Page 379: 42

Domain: $x\gt0$ or $(0,∞)$ x-intercept: $(1,0)$ $x=0$ (y-axis) is the vertical asymptote.

$g(x)=\log_6x$ Domain: $x\gt0$ or $(0,∞)$ x-intercept: $g(x)=\log_6x=0$ $6^0=x$ $x=1$. So, the x-intercept point is $(1,0)$ $\log_ax→-∞$ when $x→0^+$. Then $x=0$ (y-axis) is the vertical asymptote.