Log squared

**chengbin** · March 21st 2010, 05:50 PM

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

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

**skeeter** · March 21st 2010, 05:54 PM

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 ... $\textcolor{red}{\log_2(2x) = \log_2(2) + \log_2(x) = 1 + \log_2(x)}$

...

**chengbin** · March 22nd 2010, 12:43 PM

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

**e^(i*pi)** · March 22nd 2010, 01:04 PM

Originally Posted by chengbin

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

No

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