How do you find the asymptotes for #ln(x-2)#?

1 Answer
Oct 8, 2017

Answer:

#x=2#

Explanation:

The logarithm function (any base) is only defined for positive values, and and asymptote occurs for #x rarr 0#

Thus for ln(x-2) we have an asymptote as #x-2 rarr 0#, ie when #x=2#.

We can confirm this graphically:

graph{ln(x-2) [-5, 15, -15, 15]}