SOLUTION: The function f(x) = ax^r satisfies f(2) = 1 and f(32) = 4. Find r.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The function f(x) = ax^r satisfies f(2) = 1 and f(32) = 4. Find r.      Log On


   

Question 1032654: The function f(x) = ax^r satisfies f(2) = 1 and f(32) = 4. Find r.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
f(2) = 1 ==> a%2A2%5Er+=+1 <-------Equation A
while
f(32) = 4 ==> a%2A32%5Er+=+4. <------Equation B.
Divide Equation B by corresponding sides of equation A:
==> 16%5Er+=+4
==> r = 1/2.
BTW, a+=+1%2Fsqrt%282%29, and the function is f%28x%29+=+sqrt%28x%2F2%29