# How do you graph #y=log_6(x-1)-5#?

##### 1 Answer

Feb 11, 2018

graph{log(x-1)/log(6)-5 [-1.75, 18.25, -9.28, 0.72]}

#### Explanation:

The first step would be to know how the basic

graph{log(x) [-2, 18, -5.56, 4.44]}

Notice two certain coordinate pairs:

As you may know

If we were to graph

Now to graph your requested function of

We simply apply a phase-shift of 1 unit to the right and 5 units down. We know this because of simple transformation concepts concerning functions.

So we get:

graph{log(x-1)/log(6)-5 [-1.75, 18.25, -9.28, 0.72]}