Does y=ln(x-5)/x have vertical asymptotes at x=5 and x=0?

[Petrus]

Hello MHB,
I did find a problem in internet
$$y=\frac{ln(x-5)}{x}$$
they say there is a vertical line at $$x=5$$ but should there not also be a vertical line at $$x=0$$?

Regards,
$$|\pi\rangle$$

 

[alyafey22]

Hello MHB,
I did find a problem in internet
$$y=\frac{ln(x-5)}{x}$$
they say there is a vertical line at $$x=5$$ but should there not also be a vertical line at $$x=0$$?

Regards,
$$|\pi\rangle$$

$$\ln(x-5) $$ is undefined at $x=0$ actually the function cannot get closer to this line.