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in this lesson weamp;#39;re going to talk about evaluating logs using the change of base formula so we know that log base 2 of 16 is equal to 4 because 2 to the fourth power is 16. but letamp;#39;s say if you donamp;#39;t know that hereamp;#39;s how you can use the change of base formula to get the same answer but hereamp;#39;s the formula log base a of b is equal to log of b divided by log of a and the reason why itamp;#39;s called the change of base formula is because you can change the base originally the base is a but you can make it into any new base weamp;#39;ll call it c c could be 5 8 12. as long as these two are the same it doesnamp;#39;t really matter what c is the equation will work so log base 2 of 16 you can type it in your calculator as log 16 divided by log 2. now when you type it in your calculator like this itamp;#39;s automatically going to make it base 10. so regardless of whatever the new base is you will still get the right answer so go ahead and type that