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This video takes an exciting look at what exponential functions are. It looks at the form of the functions and how to graph them. I have a detailed look at how to transform them too. This is part of the Methods 3 and 4 course over here in Australia and it's about as exciting as Mathematics can get.
This video takes a further look at the graphs of exponentials but limits it to the very exciting and some would say sexy, graph of y=e^x. The video takes a look at the form of the function. It looks at where it came from and how you can transform it. This video is part of the Mathematical Methods 3 and 4 course here in Australia. It's also helpful to the rest of the work too.
This video will answer all your questions on Exponential equations. If you're doing Methods 3 and 4 in Australia or Algebra in any other country, this will show you how to solve exponential equations using inspection. I also take some time to look at exponential equations which form part of quadratics. The T-Method makes a comeback and I take some time in showing how the index laws are all combined into this one exciting topic. If you enjoyed it, please let a message below.
So, you want to know about how to graph and use Logarithms, do you? Well, this is the video for you! I have taken some time to look at what Logarithms are. How they came to be. How you can read them and how they can be used to answer a number of questions. I also take the time to look at how you can graph logarithms and compare them to their inverse - the exponential. I don't think I leave any stone unturned with this chapter and I hope you get a lot of value from it.
This video continues looking at exponentials and logs. If you want to know how to sketch logarithms then look no further! I start by recapping the work we have been doing on exponentials and then take a look at how logarithms are the inverse of exponentials. Having understood the relationship between the two I look at how we can use Base Graphs to help us transform all logarithms. Dilations, reflections, and translations form the next part of the video where I look at how we can apply transformations to each of the log graphs I look at. Sketching functions is awesome and I loved doing this video. I finally look at how to turn one exponential into another using a little bit of algebra and some dilation theory. I love, love, love this video. So much energy! I hope you enjoy it too.
Reading the title will take longer than watching the video! However, if you're wanting to know how to find the rule of a graph then this is the video for you. This video takes a look at three common forms of equations; exponential and logarithmic functions. I look at what we need to know to solve these equations and, primarily, it's two coordinate values. Knowing at least two coordinates allows me to use all sorts of algebra or my CAS to find the missing values. Three examples are covered in the video and a number of top tips to help you ace the exam.
This video looks at solution of exponential equations using logarithms. It is really building on the work from previous videos of which there is a recap at the start of this video. It takes a look at how to use logs to solve exponential equations by using the law to move the index to the front of a log. A number of awesome examples are done and the use of a CAS calculator is absolutely encouraged. There is also a discussion of how the Mathematical Methods exam might try and trick you with inequality signs.
This video continues the series of videos for Mathematical Methods Units 3 and 4 and deals with Inverses. Whilst this has been covered before in previous videos, I look at how we take inverses of exponential and logarithmic functions. There are a number of examples take from the Cambridge textbooks with details explanations.
This video is the final one in a series dealing with exponentials and logarithms for the Mathematical Methods Units 3 and 4. course I take some time to look at the three main questions types (and formulae) which can be used in worded problems. Cell growth, radioactive decay, and population growth. There are a number of examples provided with full worked solutions which tie into the theory. Using the ideas which have been presented in the rest of the videos, I show how to extract the correct information and apply the exponential and logarithm techniques to solve problems.
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These are the videos which are available in each chapter. You will notice that some are free and some are for subscribers only. Making and hosting these videos costs a little bit of money. To help pay for the hosting fees I have no choice but to hide some of the videos and make them for subscribers only.