Question

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

Answer 1

`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]}