Algebra-2

The vertical asymptote for a logarithmic function occurs where the argument of the logarithm equals zero, because the logarithmic function is undefined for non-positive values of its argument.

Let's analyze each option:

This is a linear equation, which does not have a vertical asymptote.

The argument of the logarithm is . The function is undefined when , which gives .

So, this function has a vertical asymptote at .

This is a linear equation, which does not have a vertical asymptote.

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