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The function f(x) = ax^r satisfies f(2) = 1 and f(128) = 5. Find r.

 Jan 6, 2022
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We have f(x) = ax^r

 

If f(2) = 1, that means that a*2^r = 1

If f(128) = 5, that means that a*128^r = 5

 

We currently have two equations with two variables each.

 

\(a*2^r = 1\)

\(a*128^r=5\)

 

now, it's just a system of equations, solving for a and r. Can you take it from here?

 Jan 6, 2022

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