A function ๐(๐ฅ) has the property that, for all positive ๐ฅ, 3๐(๐ฅ)+7๐(2016๐ฅ)=2๐ฅ.What is the value of ๐(8)?
Question
Solution 1
To solve this problem, we need to find a pattern or relationship that can help us determine the value of f(8).
Let's start by setting x = 1/2016 in the given equation. We get:
3f(1/2016) + 7f(1) = 2/2016
Now, let's set x = 1 in the given equation. We get:
3f(1) + 7f(2016) = 2
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