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in this video weamp;#39;re briefly going to go over some properties of logs that you need to be familiar with the first one is the power rule letamp;#39;s say we have log a raised to the n you can move the exponent in front so this is equal to n log a the second is the product rule log a times log b is equal to log a plus log b and then you have the quotient rule log a divided by log b is log a minus log b so we can use this in order to evaluate logs so for instance letamp;#39;s say if we want to simplify log base 5 of 5 raised to the 7. so what we can do is move the seven to the front so this is equal to seven log base five of five a log base five of five because theyamp;#39;re the same itamp;#39;s equal to one and 7 times 1 is 7. letamp;#39;s try another example like that log base 2 of 8 raised to the fifth power so letamp;#39;s move the 5 to the front so this is equal to 5 times log base 2 of 8. now how many twos do we need to multiply to get to 8 we need to multiply 3 2s 2 t
