00:01
In this question, we want to solve an exponential equation.
00:06
We're going to first show what it would look like if we leave it in terms of logarithm, and then we're going to find the decimal approximation.
00:15
So anytime you're dealing with the base of e, you want to take the natural log of both sides.
00:21
And i'll show you step by step why we should do that.
00:24
So we end up with the natural log of e to the power of 1 minus 4x is equal to the natural log of 7 .4 .4 .6 is equal to the natural log of 7.
00:34
This is helpful because we'll get to apply the power property of logarithms.
00:39
In other words, we end up with 1 minus 4x, and then we'll be left with the natural log of e is equal to the natural log of 713.
00:52
Anytime you take the natural log of e, it cancels and you're left with 1.
00:58
So then on the left hand side, we'll be left with 1 minus 4x is equal to the natural log of e, to the natural log of 713.
01:08
Now we can isolate x...