Simplify: log base 3 (1/3)

Question

anonymous · Answer

my head hurts.... sorry i not helpful

jim_thompson5910 · Answer

$$\large \log_{3}\left(\frac{1}{3}\right)$$



$$\large \frac{\log_{10}\left(\frac{1}{3}\right)}{\log_{10}\left(3\right)}$$



$$\large \frac{\log_{10}\left(3^{-1}\right)}{\log_{10}\left(3^1\right)}$$



$$\large \frac{-1*\log_{10}\left(3\right)}{1*\log_{10}\left(3\right)}$$



$$\large \frac{-1}{1}$$



$$\large -1$$


So $$\large \log_{3}\left(\frac{1}{3}\right)=-1$$

anonymous · Answer

wow. ^ he is SMART!!!! (: u on fb smarty pants??? ;)

hero · Answer

It wasn't that hard

jim_thompson5910 · Answer

Quick shortcut is to type log(1/3)/log(3) into your calculator and you'll get the same answer.

anonymous · Answer

lol yeah he really is! He's helped me so much. Thanks guys! Well it's not the easiest thing for me, I barely remember how to do this stuff so

anonymous · Answer

Can I do that with all logs?

jim_thompson5910 · Answer

Yes, this trick works with any log.

anonymous · Answer

^ hey jim_thompson5910 can u help on my problem? i just asked it.
 merci beacoup if you can look at it! (: