# How do you graph F(x)=ln(x-3)?

##### 1 Answer
May 11, 2016

y = F(x). Use the inverse relation $x = 3 + {e}^{y} . x \ge 3$. Graph meets x-axis at (4, 0). x =3 is the vertical asymptote, in the negative y-direction. Graph is from $\left(3 + , - \infty\right) \to \left(\infty , \infty\right)$ through (4, 0).

#### Explanation:

Plot points (3.25, ln 0.25), (3.5, ln 0.5), (4, 0), (4.5, ln 1.5), (5, ln 2),...to see how it rises from $\left(3 + , - \infty\right) \to \left(\infty , \infty\right)$. through these points.