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# Exponents

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

May 30, 2021

$a\cdot 2^r=1$, $a\cdot 32^r=16$. Dividing the two, $\frac{32^r}{2^r}=16^r=16\implies r=1$.