Answer
$\{-1.710 \}$
Work Step by Step
Step 1. Take natural logarithm on both sides to get $(x-1)ln4=2x\ ln3$
Step 2. Solve the above equation: $(ln4-2ln3)x=ln4$, thus $x=\frac{ln4}{ln4-2ln3}\approx-1.710$
Step 3. In set form $\{-1.710 \}$