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were now going to go backwards were going to take the sum or difference of logs and convert that into a single logarithm and so were going to start with an example suppose we have log base 8 of 4 plus log base 8 of 16 so remember important if we have a plus sign between logs and becomes a time sign inside of the single walk so we just copy the log they say to put a parentheses and put 4 times 16 well 4 times 16 is log base 8 of 64 and then whenever possible we want to reduce our logarithms so we ask can we raise 8 to a power to get 64 and we can so the final answer for this problem is to log meseta 4 plus log 8 8 of 16 becomes 2 all right so now that weve worked through that lets look at another example what if we have log base 5 of X minus 3 log base 5 of 2 well the first thing to recognize is that we have this 3 in front and thats in the way of combining our minds because this is going to turn into a division eventually but it cant do that and tell this 3 is out of the way so
