Answer
0.6309
Work Step by Step
From the change of base formula, we know that $log_{b}a=\frac{log_{c}a}{log_{c}b}$ ($a$, $b$, and $c$ are positive real numbers and neither $b$ nor $c$ is equal to 1).
Therefore, $log_{3}2=\frac{log_{10}2}{log_{10}3}=\frac{0.3010}{0.4771}=0.6309$.