A function \(f\) has the property that, for all \(x\), \(2f(x)=f(2x)\). If \(f(10)=12\), what is the value of \(f(5)\)?

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We obtain a relationship between \(f(10)\) and \(f(5)\) when \(x=5\).

$$ 2f(x)=f(2x) $$ $$ 2f(5)=f(2\cdot5) $$ $$ 2f(5)=f(10) $$ $$ 2f(5)=12 $$ $$ f(5)=\boxed{6} $$