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in this video Ill show you an example on how to rewrite logarithm expressions without logs the question reads rewrite without any logarithms in exponential form where we have log A ^ 2 - b ^ 2 + 2 times log a is equal to log a minus b + 3 log b to be successful in this type of question youll need to know the rules of logarithms and the first of those rules that Im going to use is the power rule which tells me that if I have a number in front of a log thats being multiplied to the log as in this - you can place that - as a power to a and similarly I can place this 3 as the exponent of B so Im going to go ahead and do that where we end up with this part stays the way it is and so does this part + log a to the power of 2 is equal to log a minus B plus log B to the power of 3 the next rule that Ill use is called the product rule which tells us that if we have two logs of the same base both have a base of 10 which is not written that are being added you can actually multiply these pa