\log_\frac{1}{2} \frac{x-1}{3-2x} - 2 \geq 0 \\
\log_{2^{-1}} \frac{x-1}{3-2x} \geq 2 \\
- \log_2 \frac{x-1}{3-2x} \geq \log_2 4 \\
\log_2 \left(\frac{x-1}{3-2x}\right)^{-1} \geq \log_2 4 \\
antilogaritmirajmo! \\
\frac{3-2x}{x-1} \geq 4 \\
\frac{3-2x}{x-1}-4 \geq 0 \\
\frac{3-2x-4x+4}{x-1} \geq 0 \\
\frac{-6x+7}{x-1} \geq 0