Question

What is the vertical asymptote of a log function?

Answer 1

Logarithm functions are defined on `(0,infty)` and they have an infinite limit at `0^+` (namely, `-infty` if the base is greater than 1, and `infty` if the base is between 0 and 1).

Thus, the `y`-axis, `x=0` is the vertical asymptote.

See general logarithms .