Answer
$log_{3}2\approx.6309$
Work Step by Step
In order to evaluate the given logarithm, we can use the change of base formula.
$log_{b}a=\frac{log_{c}a}{log_{c}b}$ (where a, b, and c are positive real numbers and neither b nor c is 1)
For simplicity, we will use base 10, which is the base of the common logarithm.
Therefore, $log_{3}2=\frac{log_{10}2}{log_{10}3}=\frac{.3010}{.4771}\approx.6309$.
