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The function f(x) = ax^r satisfies f(2) = 1 and f(32) = 16. Find r.

 Dec 10, 2021
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The function f(x) = ax^r satisfies f(2) = 1 and f(32) = 16. Find r.


\(1=a*(2^r) \qquad 16=a*(32^r)\\ 1=a*(2^r) \qquad 2^4=a*(2^{5r})\\ 2{-r}=a \qquad \qquad 2^{4-5r}=a\\ 2-r=4-5r\\ etc\)

 

 

 

 

LaTex:

1=a*(2^r) \qquad 16=a*(32^r)\\
1=a*(2^r) \qquad 2^4=a*(2^{5r})\\
2{-r}=a \qquad \qquad 2^{4-5r}=a\\
2-r=4-5r\\
etc

 Dec 11, 2021

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