Answer
Domain: $x\gt0$ or $(0,∞)$
x-intercept: $(1,0)$
$x=0$ (y-axis) is the vertical asymptote.
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Work Step by Step
$f(x)=\log_4x$
Domain: $x\gt0$ or $(0,∞)$
x-intercept:
$f(x)=\log_4x=0$
$4^0=x$
$x=1$. So, the x-intercept point is $(1,0)$
$\log_ax→-∞$ when $x→0^+$. Then $x=0$ (y-axis) is the vertical asymptote.