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solve the equation 3 to the X is equal to 21 for X belonging to R so in this video Iamp;#39;m going to show you two ways to solve this equation one is general method issues and itamp;#39;s quite useful for equations which you wonamp;#39;t complicate it so weamp;#39;ve got three to the X is equal to 21 now when youamp;#39;re solving equations whatever you do on one side you must do to the other so what weamp;#39;re going to do is taking logs to the base 10 of both sides it doesnamp;#39;t have to be base 10 it could be another base sometimes Ln to the base e itamp;#39;s also used so log to base 3 of the power of X is equal to log 2 of base 10 of 21 so weamp;#39;ve done the same thing there to both sides now thereamp;#39;s a rule of logarithms we can apply to this side and it says log to base a of X so that R is our log a of X so what that basically means that X I can bring in front of the logarithm so X log of 3 is equal to log 21 so itamp;#39;s x times log 3 so the opposite m