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There are many rules of logarithms, and out of those, there are three which are frequently used Heres the first one. It tells us about the log of xy to the base b. You see that theres a product inside. So the first rule states that this equals log of x to the base b plus log of y to the base b. Yes, this is the first rule and its called the logarithmic addition identity. When two logs with the same base are added we write the argument as the product of the two arguments. The most important thing we should notice here is the base. The base has to be the same. Only then will this rule hold true. The next rule talks about log of x over y to the base b. You can probably guess what this will be equal to. Yes, it will be equal to log of x to the base b minus log of y to the base b. Thats the second rule and again the bases are the same. This is referred to as the logarithmic subtraction identity. The third rule is quite interesting! It tells us about the log of