simplify $n^{\log _{3}(2)}$

Question

Is there a way to simplify $n^{\log _{3}(2)}$ to have a result in the form of $xn$ ?

Answer 1

you may solve for $x$ to obtain

$$x = n^{\log_3\frac23} $$

but this is not a simplification

Answer 2

No. $\log_3(2)$ is a constant roughly equal to $0.6309$, and the expression $n^{0.6309...}$ is not linear in $n$.