Question

How do you graph `f(x)=log_3(x-1)`?

Answer 1

See below

Explanation:

`f(x) = log_3 (x-1)`

`= ln(x-1)/ln3`

Thus, `f(x)` has the standard graph of `lnx` shifted 1 unit positive on the `x-`axis and scaled by `1/ln3`. Shown below.

Standard graph: `lnx`
graph{ln(x) [-10, 10, -5, 5]}

Graph of `f(x)`
graph{ln(x-1)/ln3 [-10, 10, -5, 5]}