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we are asked to solve this beautiful logarithmic equation and there is an issue here we cannot deal AAG the whole thing because we have logs a different basis we also have one number which does not which isnt represented in form of a log many issues here were going to solve them through the change of base formula thats something you should notice because there is a three here and there is a one over three here so its going to actually be easy to manipulate this into a log base three form so the first thing we do is we say write to put all the logs on one side put all the non logs on the other side so 2 is equal to log base 3 of X plus 7 plus log base 1/3 2x and now theres theres pretty much nothing you can do but take the change of base formula which says the following it says that log with base B of a as equal to log base C which is the new base that you want to create of a divided by log base C of B so now you have taken a log of something and you have transformed it into a lo