My Math Forum Confusing log

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 November 29th, 2016, 04:40 AM #1 Member   Joined: Nov 2016 From: Ireland Posts: 84 Thanks: 3 Confusing log $\displaystyle 1/2\log9t^2 = \log\left[(9t^2)^{1/2}\right] = \log3t$ It's just not right... well obviously it is. But... what the heck Last edited by greg1313; November 29th, 2016 at 05:14 AM.
 November 29th, 2016, 04:56 AM #2 Member   Joined: Nov 2016 From: Ireland Posts: 84 Thanks: 3 Nevermind I've not had my coffee is what it is.
November 29th, 2016, 05:10 AM   #3
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Quote:
 Originally Posted by Kevineamon Nevermind I've not had my coffee is what it is.
I'm pretty sure this is the reason behind most of my errors too!

 November 29th, 2016, 06:00 AM #4 Member   Joined: Nov 2016 From: Ireland Posts: 84 Thanks: 3 Ha The answer to life and all of its ills. You know I get this overwhelming sense of satisfaction when I have my coffee in the morning. That's probably not good. Or it's so good it's bad. There's probably a mathematical formula behind it.
November 29th, 2016, 06:34 PM   #5
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Quote:
 Originally Posted by Kevineamon $\displaystyle 1/2\log9t^2 = \log\left[(9t^2)^{1/2}\right] = \log3t$ It's just not right... well obviously it is. But... what the heck
I think it must be \displaystyle \begin{align*} \log{ \left| 3\,t \right| } \end{align*}...

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