Okay, before we end this second section, I want to talk about natural logs. As we know Previously, we spoke about common log set to the base 10 natural logs into number two dot 7183. And there was a lot of verification and exploration and study on how they came up with this number, which we're not going to go into. But the point I'm trying to make is natural logs are used in the study of electronics. And I've put up a graph here. And these graphs are based upon the natural log here, this red line here and the only thing I'm going to say is, it's an RC circuit resistor, capacitor.
That's the charging component of an RC circuit. Right here. This could be a discharging curve for an RC circuit. So we have active circuits and electronics that use this natural blog. And again, that's all I'm going to say there. And again, I show you that down here natural logs who use electronic circuit design for energy storage devices.
And again, this is a graph showing natural logs. So that's one of the reasons we use it. That's why it's true here. And it's, it's in the next slide, you're going to see that everything's the same. Instead of getting my exponent to the to the base 10, my exponent goes to that number there. So let's stop here.
Let me erase the slide, go to the next one. Okay, so on this slide Again, we're still talking about natural logs. I've changed my calculator. Now in mine, I have a shift key, we will using common log functions right here. And if I hit the X and I go back that that is my symbol on a calculator for natural log, ln, and this is my anti log e to the x. Okay?
So we're using a cap calculator to find the natural log 98 dot seven is my answer. So what we're saying here is, so he raised to this power will equal 98 dot seven where he is 2.71. All right, so all I do is plug in 98 dot seven and I hit my natural log key and then we go four or 592459 to 11 repeating decimal, we've only gone to three places here. So that's it. So, basically, with the calculator, it's really easy. We had log tables.
I mean, there's, there's not, it's not an easy thing for someone to actually go and manipulate these. I mean, it would, it would take you hours. But the calculator before the calculator, we had log tables that we bought, somebody had previously calculated them, put them in a table first and there was a way that we can make manipulate that but that for the most part, that's all gone gone away with the with the invention of the electronic calculator. Okay, so what I'd like you to do here is do these. So basically all I do and I'm going to do this one for you, is I'm going to do 2.7183 and I'm going to hit this button and Here's my answer, one, zero that allow with a with a repeating decimal. Okay, do the rest.
When you stop the slide, you'll see the answers. Okay, here are the answers. You're not going to call them out, you can read them. Again, if you had you didn't get them, you're probably not hitting the buttons in the correct sequence. Go back and review the video on how to do that. I'm sure you'll come up with it again.
If you need some help. You know how to get ahold of me there's a phone number and you can send me an email through this platform. All right. All right, let me clear it. Okay, so now on this slide, we're going to use the calculator. Define the anti net natural logarithm So we take this we say okay, so I got four dot 592.
So we know that e two four dot 592 has to be 98 dot seven. So all I do is type in what this is four dot 592. And that should equal 98 dot 798 dot 69. We round it off, so we're good. So this is my anti natural logarithm key. All right, so let's clear it.
And let's do one. One should be two dots, seven, one around two dots, seven, one. So I'm going to plug it in one And then we go to 718. Again roundoff. All right. So why don't you finish those up?
And again, the answers will be on the next slide. Thank you. Talk to you soon. All right, here are the answers. Again, you can read them. They're right here.
All right. Again, if you didn't get them, you're probably not entering the numbers properly in the calculator or maybe you're using the wrong key. You know how to get ahold of me. All right. This will end this lecture on on logarithms. The last section was natural logs.
We The next section is the metric system. And we will see you over there. Talk to you soon.