1 00:00:00,000 --> 00:00:04,133 Find the natural logarithm of 3 using a calculator. 2 00:00:04,133 --> 00:00:06,432 Round your answer to the nearest hundredth. 3 00:00:06,432 --> 00:00:08,707 And this is a reminder: natural log of 3 -- 4 00:00:08,707 --> 00:00:12,934 this is just another way of saying log base e of 3. 5 00:00:12,934 --> 00:00:17,508 Or what power do I have to raise e to get to 3. 6 00:00:17,508 --> 00:00:19,435 And 3 is a little bit larger than e. 7 00:00:19,435 --> 00:00:21,641 e is 2.71 and then it goes on and on. 8 00:00:21,641 --> 00:00:24,660 So 3 is a little bit larger than e. So I'm guessing it gonna be 9 00:00:24,660 --> 00:00:26,935 1. something something. 10 00:00:26,935 --> 00:00:29,141 Let's get our calculator out and just calculate it. 11 00:00:29,141 --> 00:00:32,508 So natural log, that's this button over here "ln". 12 00:00:32,508 --> 00:00:35,991 I'm assuming it's maybe from french "log naturelle" 13 00:00:35,991 --> 00:00:37,779 or something like that. 14 00:00:37,779 --> 00:00:40,356 So natural log of 3 is 15 00:00:40,356 --> 00:00:45,116 1. (and they want us to round to the nearest hundedth). 16 00:00:45,116 --> 00:00:49,133 So 1.09 and at the thousandths place is an 8, 17 00:00:49,133 --> 00:00:53,499 which is greater or equal to 5, so we want to round up. 18 00:00:53,499 --> 00:00:57,562 So we want to round 9 up, that essentialy takes us to 10. 19 00:00:57,562 --> 00:01:00,256 So 1.10. 20 00:01:00,256 --> 00:01:04,296 So this is approximately equal to 1.10, 21 00:01:04,296 --> 00:01:08,034 when we round to the nearest hundredth.