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hi my name is Victor and today Im going to show you how to express a single logarithm as a sum or difference of logarithms okay now to express a single logarithm as a sum or difference of logarithms we have to determine whether were going to be expressing the logarithm as a sum or as a difference okay now the way that we determined that is by using two properties okay the first property tells us that if I have a log a logarithm with base a for example and inside that logarithm we have a product of two numbers now when I say product I mean two numbers or two terms that are multiplying to each other we can rewrite that logarithm that single logarithm as a sum of logarithms so when we see two two terms that are multiplying to each other then just remember that multiplication relates with addition okay so I can rewrite this single logarithm as a sum of logarithms where we would have the two terms and two separate Logs with the same base and were adding those two logs okay so this is on