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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. If you don't know this, use the formula log base a of b = log b / log a. You can change the base to any new base (c) as long as they are the same, such as 5, 8, or 12. Use log b / log a in your calculator to automatically convert to base 10 and get the right answer. For log base 2 of 16, calculate log 16 / log 2 to get 4.