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This lesson discusses evaluating logs using the change of base formula. Log base 2 of 16 is equal to 4 because 2 to the fourth power is 16. The change of base formula is log base a of b is equal to log of b divided by log of a. You can change the base to any new base, like c. As long as the bases are the same, the equation will work. Log base 2 of 16 can be calculated as log 16 divided by log 2, regardless of the new base. Type in log 16 divided by log 2 in your calculator to get the answer 4.