SOLUTION: Evaluate the expression without using a calculator. log 4 (1)/(16) Answers -2 8 2 1/2

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Question 1180244: Evaluate the expression without using a calculator.
log 4 (1)/(16)
Answers
-2
8
2
1/2
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
log4(1/16) = y if and only if 4^y = 1/16
since 1/4^2 = 1/16 and 1/4^2 is equal to 4^-2, then y must be equal to -2.
you get 4^-2 = 1/16 which becomes 1/4^2 = 16 which becomes 1/16 = 1/16 which is true.
therefore, y must be equal to -2.