# How do you graph #log_a(b)#?

##### 1 Answer

See below

#### Explanation:

Usually with graphing questions, I ask the student to start with the basic graph and move forward from there. In this case,

Let's first remember that we're working with not just any log, but

Let's also remember that the relationship between log and

a is our "starting number"

c is the number of times a is multiplied by itself

b is the result of the operation

In our graphing question, a=10 and we're graphing the interplay between b (the "x" value) and c (the "y" value). So let's do a quick table of values:

So the basic pattern is that there is an asymptote that as b (our x value) approaches 0, c (our y value) heads for negative infinity and b increases towards infinity quickly as c grows slowly. Overall, the graph looks like this:

graph{logx [-1, 100, -5, 5]}