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hi guys so in todays video were gonna have a quick look at how to solve equations in which the unknown is an index so what that basically means is where we have a question where the unknown number is on the shoulder of the base number so for example if we have something like this for it the pair of X is equals to 16 so what were trying to work out then is well whats the value of x the into say thats on the fourth shoulder and our method for solving these questions is always try and half the base number is the same on the left on the right hand side of the equation so on the left hand side of the equation we have 4 is the base number so were gonna see clear ice the right-hand side of our equation to base 4 so were gonna leave the left hand side the same and were gonna say what goes on the four shoulder to change it into 16 and what well notice is that 4 squared gives us 16 and because the base numbers are the same it means that we can actually write or equate the indices becau