00:01
Hello, welcome to the video, and today we're going to be taking a look at natural logs and how we can transform something that may look a little more complex like this and transform it into something that looks a little more friendly.
00:15
In this problem, we have the natural log of 7 plus the natural log of x plus the natural log of y, and this problem tells us to simplify that.
00:25
Now, in order to do this, we'll need to know our log properties, and in this case, we will need to know the product rule.
00:33
And the product rule tells us that if we have the log or the natural log of a plus the natural log of b, we can rewrite that as the natural log of a times b.
00:48
And it's always important to know that the base value always stays the same.
00:53
So if this was log base b, it would be the same over here...