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Vox Academy today we'll be teaching how to add subtract logarithms when you work with algorithms you have to know how they actually are and what their structure is so here we have the main form of how logarithms are expressed you have a base to an exponent which will get you a number logarithms are based off like this log the base will be on the bottom the exponent is what it equals and the end which is a random number is here G I'll show you an example of how it works so let's say 3 to the power of 2 it is 9 when you take this for me to the Log form it will be log this is the base the to is exponent and the 9 is the number that the B ^ e equals so the base will be 3 the N welcome the 9 will come here it will equal the exponent which in this case is 2 so this is how a log is expressed and the value of this log is simply 2 now I'll be teaching you how to add subtract log rhythms using this example this example it is log base 3 27 plus log base 8 to the 1 8 minus log base 16 to the fourth as I said before base to the power of E which is the exponent well EQ will equal a number so what up the way to memorize is is this is Ben so any random number 2 the exponent gets UN and this translates when you make it to logarithm it's not been a so Ben goes to log Bonet this is the way to memorize been logged Vinay here instead of looking at it all at once what you will do at first whenever you add and subtract logarithms out once you add first after that you're subtract so here you will look at this expression at first and the subtraction comes after the adding so log base 3 to the 27 this is basically asking 3 to the 1 power it's you 27 and let's look over there so they're each of the what power gives you 27 3 to the third power so 3 to the third power gets you 27 so log base 3 to the 27 will equal 3 so we will bring this down here this will be at 3 plus log base 8 to the 1/8 so 8 to the what power gives you 1/8 this fraction comes up because whenever you do X to let's say a negative number you will do X to let's save you do X to negative 6 you will take that do X to the 6th power and you just put a 1 on the top so here in this case it'll be 8 to the negative 1 over 1 and down will translate to 1/8 so hence this is 8 to the negative 1 so you will...