00:01
All right, so let's talk about what an extraneous solution is and how we can recognize it.
00:08
So an extraneous solution, as it relates to logarithmic functions, is where our x value is less than or equal to zero.
00:18
So if we have our common log or a natural log, and the solution that we solve for is less than or equal to zero, we're going to end up with an extraneous solution.
00:29
If our x is greater than zero for both log and natural log, then we'll have a solution that is appropriate for our function.
00:39
Now, let's see kind of how, where this comes from and what it looks like.
00:44
So over here i've got our, let's start with log, got our common log graph.
00:50
And you can see we have an asymptote at the line x is equal to zero.
00:54
So at zero, we will not have a solution...