One, I want y is equal to two times, two times the absolute value, actually I don't know My color to be the same or as close as I can, so maybeĬloser to that bluer color.

So if y is equal to the negative natural log of two x. So I'm going to use DesmosĪs my graphing calculator. And the x-values where they intersect, those are going to be solutions to that. And then we could haveĪnother equation or function that y is equal to two times the absolute value of x So what do I mean by that? Well we could set y is equal to the negative natural log of two x. Because they'll intersect at an x-value that gives us the same y-value, and that means that the Like this, in one variable, we can set y equal to the left and then set y equal to the right and then graph each of those functions and then think about where they intersect. And the way we do that is, if we have an equation, especially a hairy equation Realize that we might be able to solve this by graphing, or at least approximate the All right now let's work on this together. And I encourage you to have a go on it, (laughing) a go at it. So pause this video and haveĪ go at this if you like, and then we'll work on this together. They say hint, use a graphing calculator and round your answer One of the solutions is x is equal to 0.5. Told we want to solve the following equation, the negative natural log of two x is equal to two times the absolute value of x minus four, all of that minus seven. Other tests might be possible without calculators in general, but become easier (and quicker) with them. Using a calculator for the first time on an important test could present a problem). If the need be you could always borrow one from a friend or fellow student if it is just for one test (I did this myself when I took the SAT and borrowed a scientific calculator, but I was already familiar with it. For standardized tests like the SAT, there is a list of acceptable calculators (they won't let you use an app on your phone for obvious reasons) and while it is possible with a 4-function or scientific calculator, graphing is recommended. If having a physical calculator is the problem, there are programs you can use such as websites and apps that accomplish the same thing.Īs for being allowed on tests, that is something to ask your teacher and they might even have a class set. I suppose you could algebraically solve this particular problem by setting the functions equal to each other although this would probably be a harder process and you would still need to do calculations with e, which would probably require a calculator of some kind, if not a graphing one.

Desmo graphing cal