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welcome so what iamp;#39;d like to do is just show you how to evaluate log base 3 of negative 9 youamp;#39;re not going to get a lot of these examples coming up because once you once we kind of go through this example youamp;#39;ll be able to see that itamp;#39;s very kind of basic to be able to under um understand how to solve any of these when youamp;#39;re going to have try and evaluate a logarithm for a negative number so the best thing i can do is actually iamp;#39;m 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 weamp;#39;re trying to find weamp;#39;re 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 letamp;#39;s 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