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What is Log₃9^1/3

Guest Jun 24, 2014

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Best Answer

Log₃9^1/3 ?

$$\log_3{(9^\frac{1}{3})}=\log_3{(3^\frac{2}{3})}=\frac{2}{3}*\underbrace{\log_3{(3)}}_{=1}=\frac{2}{3}$$

heureka Jun 24, 2014

heureka · Answer 1 · 2014-06-24T10:40:40

Log₃9^1/3 ?

$$\log_3{(9^\frac{1}{3})}=\log_3{(3^\frac{2}{3})}=\frac{2}{3}*\underbrace{\log_3{(3)}}_{=1}=\frac{2}{3}$$