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so welcome to this video on using the rules of logs and were going to go through some examples and as we go through the examples I think it will be beneficial to have the rules of blogs open in front of you so theres a picture of it here and these appear on page 21 of your log tables so were kind of working with the second two columns and and as we go through the model you referring to different rules so if you have your own do you have them open now you can pause the video and go and get them so lets take a look at a question here that asks us to simplify the following expression so theres a few different expressions here with the logs so lets take a look at example one so its asking us to simplify the following expression so we can see that this expression contains three sets of logs so they wanted to write in the simplest form so the first thing that we see is that were adding two of them were subtracting a third now we do have rules about adding logs so if you look at page