SOLUTION: log(16)x=-1/2...how to solve for x

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log(16)x=-1/2...how to solve for x      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 509167: log(16)x=-1/2...how to solve for x
Answer by swincher4391(726) About Me  (Show Source):
You can put this solution on YOUR website!
The exponentiate (by base 16) both sides of the equation:
16^(log(16)(x)) = 16^(-1/2)
x = 16^(-1/2)
x = 1/(16^(1/2))
x = 1/sqrt(16)
x = 1/4 <-------Answer