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When we say that logarithms canamp;#39;t be negative, what we mean specifically is that we canamp;#39;t have the argument of the logarithm be negative. This is a logarithm. This little number is called the base. This number is called the argument. This is the answer. The way logs are defined, weamp;#39;re not allowed to make the argument negative. In fact, the argument of a logarithm can only be a positive number not equal to 1. To understand why, we have to talk about the base of the logarithm first, before we can talk about the argument. By definition, when we say logb(x)=y, thatamp;#39;s the same thing as saying b^y=x. So if you want to find logb(x), youamp;#39;re asking amp;quot;what power do you have to raise b to in order to get x?amp;quot;. Or you can say, if I raise b to the power of y, Iamp;#39;m going to get x. In other words, if we go back to our original logarithm, if we raise 2 to the power of 3, weamp;#39;re going to get 8. Or 2^3=8. Thatamp;#39;s what the log