Hello, everyone. Tom from everystepcalculus.com and everystepphysics.com. I’m going to integrate a log to a base problem, in this video.Let’s do it. Index 8 to get to my menu. We’re going to use second and the cursor here to go to screen by screen to get down to the L section where there’s log problems. We’re going to choose that one. And here’s log problems. And we’re gonna, we want to integrate. So we’re going to choose integrate, number 9 there. You could press a number or scroll to it, either one. And we’re going to enter our functions, here. Now this is a little tricky because we have to add l o g in here. So we’re going to have to press second, Alpha twice so it this becomes black. You see this black here? Then we can go, 4 minus 7 is l o g. (Excuse me). And then we press Alpha to go back to the number register. And we’re going to put three and then they close parentheses or left parentheses, three times X and then the right parentheses. And I always show you what you’ve entered, you can change it if you want. I say it’s okay. Now in a log problem, you have to change it and ln(x) before you can integrate it so that’s this system here. In other words this goes in the log and you divide it by the log of the base, three. So then we’re into integration by parts and you mark all this stuff exactly as you see in your paper. Here’s the formula. VU minus the integral of VDU. And we keep working a problem multiplying things and whatever we have to do. And here’s the answer. Pretty neat, huh? everystepcalculus.com. Go to my site. You can see, I’m going to go back for just for a second. You can see all the things you can do solve for x or exponential form, logarithmic form, etc.

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