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in this video were going to look at how we can use our rules of logs to write logs in terms of other numbers so were going to jump straight to the examples here uh so the first example says if log 5 is equal to a and log 6 is equal to b express the following in terms of a and b now theres two parts of this question the first part is to try and get your number which in this case is 30 written in terms of the 5 and the 6 and then we could put it back into a and b form okay so if we look at log 30 for the first one log 30 is the same as log of brackets 5 times 6 which is the same as log of 5 plus log of six so in this case thats going to be just a plus b okay very easy the next one maybe not just so easy to see so we have to play around with the numbers so well try five divided by six but 5 divided by 6 is definitely not going to give you 1.2 try 6 divided by 5 6 divided by 5 is going to give you 1.2 so you could write your law your 1.2 as 6 over 5 and then its nice and easy its j