What is $\displaystyle (\log_2 x)^2$? Is it $\displaystyle (\log_2 x)(\log_2 x)$? Does $\displaystyle (\log_2 x)(\log_2 x)=\log_2 2x$?
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Originally Posted by chengbin What is $\displaystyle (\log_2 x)^2$? Is it $\displaystyle (\log_2 x)(\log_2 x)$? yes Does $\displaystyle (\log_2 x)(\log_2 x)=\log_2 2x$? no ... $\displaystyle \textcolor{red}{\log_2(2x) = \log_2(2) + \log_2(x) = 1 + \log_2(x)}$ ...
Then can you simplify $\displaystyle (\log_2 x)^2$?
Originally Posted by chengbin Then can you simplify $\displaystyle (\log_2 x)^2$? No
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