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hello welcome back Im Jason with math and science comm today the title of this lesson is called logarithm change of base formula and also solving more exponential and logarithm equations I told you at the very beginning the most important thing about logarithms that were going to use them for at least in the near term is in solving equations and specifically solving exponential equations and we have solved some exponential equations and we have used logarithms but by now you probably figured out that some equations become difficult to solve if the logarithms or to get to get a numerical answer for if the logarithms that youre dealing with are in a crazy weird basis like for instance weve weve talked about the fact that you can you have logarithms in a base two you can have base five logarithms base three logarithms so you have those exact answers if you can take logarithms with all these different bases but a lot of times what happens is you have a calculator in your hand and you