F(x) > S(x) at logarithmic scale doesnt work

Something’s not working the way it seems like it should.
when i try to plot f(x)>s(x), it works if i do it on the linear graph, but not when i do it on the logarithmic graph. (i tried several different versions of the same two -very simple- functions: x/n & x/(ln(x)-1.08366)

Here’s the link to the page, dashboard, or activity (it especially breaks where x is near 1*10^301):

It seems to me that it does work:
https://www.desmos.com/calculator/sqgosiubnz

but if you zoom to much out than the calculations become a bit odd and you approximations in the graph