SOLUTION: log2 1/2 simplify

Question 592458: log2 1/2 simplify
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
$\log_{2}\left( \frac{1}{2} \right )$

$\frac{\log_{10}\left( \frac{1}{2} \right )}{\log_{10}\left( 2 \right )}$

$\frac{\log_{10}\left( 2^{-1} \right )}{\log_{10}\left( 2 \right )}$

$\frac{-1*\log_{10}\left( 2 \right )}{\log_{10}\left( 2 \right )}$

$-1$

So $\log_{2}\left( \frac{1}{2} \right ) = -1$
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