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$\frac{256}{2^S}=64$

How would you solve for S?

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up vote 0 down vote accepted

FURTHER HINT: $\mathrm{log}_2(2^{x}) = x$

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Hint: $256=2^8$, $64=2^6$, and remember the rule $2^x/2^y = 2^{x-y}$.

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3  
Another hint: $256/64 = 2^S$ – Henry Feb 25 '11 at 9:40

Well, think of $\frac{256}{2{^s}}$ as $256$ divided by $2^{s}$. then think of what multiplied by $64$ is equal to $256$. Now, $2$ to what power(s) will equal this number?

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