What is the x-coordinate for the vertical asymptote of y=ln x

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1 answer

The function \( y = \ln x \) has a vertical asymptote where the function approaches infinity as \( x \) approaches a certain value. For the natural logarithm function, the vertical asymptote occurs at \( x = 0 \).

As \( x \) approaches \( 0 \) from the right (i.e., \( x \to 0^+ \)), \( \ln x \) approaches negative infinity. Therefore, the x-coordinate for the vertical asymptote of \( y = \ln x \) is:

\[ \boxed{0} \]