SOLUTION: What is x if: log_x(16) = -2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: What is x if: log_x(16) = -2      Log On


   

Question 236766: What is x if: log_x(16) = -2
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
using rules for logs ___ x^(-2) = 16

raising to the -1/2 power ___ [x^(-2)]^(-1/2) = 16^(-1/2)

x = 1/4