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harmonica bar welcome to my series on logarithmic equations here Ill take few examples where change of base will be required to solve logarithmic equations so you can check my playlist where youll find a couple of questions similar to what we are trying to solve we need to solve log the base of 16x plus log to the base 4 of X plus log to the base 2 of x equals to 7 change of base formula is kind of like this if you are given log to the base e of X and if you want to change the base to B you can write this as log to the base B of X divided by log to the base B of e so this formula is used to change the base from A to B now when you given a question like this where the base is 16 4 - well prefer to change the base to 2 right so here well change the base to 2 so lets rewrite the equation with the different base log to the base 16 of X can be written as log to the base 2 of X divided by log to the base 2 of 16 Y that is how you change the base next to log to the base 2 of X divided by