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

 Dec 11, 2014

Best Answer 

 #1
avatar+118723 
+5

$$\\4=a*32^r\qquad(1)\\\\
1=a*2^r\qquad(2)\\\\
\frac{4}{1}=\frac{a*32^r}{a*2^r}\\\\
4=16^r\\\\
4^1=4^{2r}\\\\
2r=1\\\\
r=0.5$$

.
 Dec 11, 2014
 #1
avatar+118723 
+5
Best Answer

$$\\4=a*32^r\qquad(1)\\\\
1=a*2^r\qquad(2)\\\\
\frac{4}{1}=\frac{a*32^r}{a*2^r}\\\\
4=16^r\\\\
4^1=4^{2r}\\\\
2r=1\\\\
r=0.5$$

Melody Dec 11, 2014

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