# How do you write as a single log for 1/3log_3x + 2/3log_3x ?

Oct 29, 2015

${\log}_{3} \left(x\right)$

#### Explanation:

$\frac{1}{3} {\log}_{3} \left(x\right) + \frac{2}{3} {\log}_{3} \left(x\right) = \left(\frac{1}{3} + \frac{2}{3}\right) {\log}_{3} \left(x\right) = {\log}_{3} \left(x\right)$