00:04
So here we have a logarithmic equation.
00:07
And notice that on both sides of the equation, you have a natural log.
00:11
And since we have the same type of logarithm with the same base on both sides, we can use the one -to -one property and just set the arguments equal.
00:20
So in the property, s equals t.
00:24
So for our equation, negative 3x equals x squared minus 6x.
00:35
Okay.
00:36
So we're going to solve that equation for x.
00:38
And the first thing i'm going to do is add 3x to both sides.
00:43
So we get 0 equals x squared minus 3x.
00:47
Now i'm going to rewrite that as x squared minus 3x equals 0, just because i prefer having my x on the left.
00:56
And then i'm going to factor that by factoring out an x.
01:00
So we have x times x minus 3 equals 0...