\[ -4 \cdot 3^{6 w}=-1750 \] What is the solution of the equation?

Step 1 ：\(-4 \cdot 3^{6 w}=-1750\)

Step 2 ：\(3^{6 w} = \frac{1750}{4}\)

Step 3 ：\(6 w = \log_3(\frac{1750}{4})\)

Step 4 ：\(w=\frac{\log_3(\frac{1750}{4})}{6}\)