Find all vertical and horizontal asymptotes for the graph of y=lnx/lnx-1

Answer 1

isx=e and y=1

Answer 2

Did you mean:
y=lnx/(lnx-1)
or
y=lnx/ln(x-1)

Clearly you did not mean it the way you typed it, since it
would reduce to y = 0

Answer 3

recall that ln e = 1
so, lnx-1 = 0 when x=1

clearly, when x gets huge, lnx-1 is very close to lnx
so the horizontal asymptote is just y = lnx/lnx = 1