Answer
The expression can not be expanded further.
(Refer to the step-by-step part for the explanation.)
Work Step by Step
The problem asks if $\log_3{(2x+1)}$ can be expanded further.
We might at first consider using the product rule.
However, recall that the product rule states:
$\log_b{mn}=\log_b{m}+\log_b{n}$
Notice that for the product rule to apply, the plus sign must be between two logarithm expressions with the same base, and not between the values $m$ and $n$.
Thus the product rule cannot be applied and the expression can not be expanded further.
