# How do you graph f(x) = 3 ln (x-2)?

Dec 10, 2017

See below.

#### Explanation:

$f \left(x\right) = 3 \ln \left(x - 2\right)$

$f \left(x\right)$ is the standard graph of $\ln x$ transformed ("shifted") +2 units on the $x -$axis and scaled by 3 units. These transformations can be seen by the grapgs below.

Graph 1; $y = \ln x$

graph{lnx [-10, 10, -5, 5]}

Graph 2: $y = \ln \left(x - 2\right)$

graph{ln(x-2) [-10, 10, -5, 5]}

Graph 3: $f \left(x\right) = 3 \ln \left(x - 2\right)$

graph{3ln(x-2) [-18.02, 18.02, -9, 9.02]}