Determine the value of the following
${log}_{2} 512$

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Solution

$l o g_{2} 512 = \frac{l o g 512}{l o g 2}$
$= \frac{l o g 2^{9}}{l o g 2}$
$= \frac{9 l o g^{2}}{l o g^{2}}$
$= 9$

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