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lets take a look at the base being negative 2. whoa okay as we all know there are people out there now they will tell you we cannot have negative numbers instead of logarithms because for example if you take a look of log base 2 of negative 8 to see why this right here doesnt have any answer we can put this to be k and then we can change this to an exponential version namely you can just write down 2 to the k power and you make this equal to the inside which is negative eight but the problem is that the left-hand side is exponential meaning this right here is always positive but right here on the right-hand side this right here is negative eight its a contradiction this right here has no solution therefore it seems like this right here didnt make sense but lets take a look of this one what if we have log and then the inside is still negative eight but this time lets take a look at the base being negative 2. whoa in this case are we going to get the answer for it yes take a look
