SOLUTION: Please help me solve log16 n is equal to -1/2. The 16 is the base just so you know.

Question 189528This question is from textbook Algebra 2
: Please help me solve log16 n is equal to -1/2. The 16 is the base just so you know. This question is from textbook Algebra 2

Answer by feliz1965(151) (Show Source): You can put this solution on YOUR website!
log_16 (n) = -1/2 becomes 16^(-1/2) = n.
You need to apply the log rules to these problems or else logs will not make sense.
16 to the -1/2 is the same thing as 1/16^(1/2). Here I applied the rules for negative exponents.
1/16^(1/2) = 1/(square root of 16) and this is equated to n.
Final answer: 1/4 = n

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