[tex]\displaystyle\\
\text{Presupunem ca afirmatia este adevarata.}\\\\
\log_2 \Big(\frac{2}{3}\Big) = \log_2 \Big(2^{-3}\Big)\\\\
\Longrightarrow~~~ \frac{2}{3} = 2^{-3} ~~ \Longleftrightarrow~~ \frac{2}{3} =\frac{1}{2^3}~~ \Longleftrightarrow~~ \frac{2}{3} =\frac{1}{8}~~~\boxed{\textbf{FALS}}\\\\
\Longrightarrow~~~\boxed{\log_2 \Big(\frac{2}{3}\Big) \neq \log_2 \Big(2^{-3}\Big)}
[/tex]
