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welcome so what id like to do is just show you how to evaluate log base 3 of negative 9 youre not going to get a lot of these examples coming up because once you once we kind of go through this example youll be able to see that its very kind of basic to be able to under um understand how to solve any of these when youre going to have try and evaluate a logarithm for a negative number so the best thing i can do is actually im going to take this expression and actually rewrite it as an equation so i can rewrite this in exponential form and what this says is 3 to the x equals negative 9. so what we want to do is were trying to find were trying to find a value that i can raise my base 3 to to equal a negative number and the thing is this is going to be impossible so there is no solution for this so lets just go and take a look and see you know why is that going to be the case well we know that 3 squared equals positive 9 right so we could say all right well what else what about if