# Thread: Log squared

1. ## Log squared

What is $(\log_2 x)^2$? Is it $(\log_2 x)(\log_2 x)$?

Does $(\log_2 x)(\log_2 x)=\log_2 2x$?

2. Originally Posted by chengbin
What is $(\log_2 x)^2$? Is it $(\log_2 x)(\log_2 x)$? yes

Does $(\log_2 x)(\log_2 x)=\log_2 2x$? no ... $\textcolor{red}{\log_2(2x) = \log_2(2) + \log_2(x) = 1 + \log_2(x)}$
...

3. Then can you simplify $(\log_2 x)^2$?

4. Originally Posted by chengbin
Then can you simplify $(\log_2 x)^2$?
No
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