Answer
{$-1,4$}
Work Step by Step
Step 1: $\log_{4} (x^{2}-3x)=1$
Step 2: $(x^{2}-3x)=4^{1}$
Step 3: $(x^{2}-3x)=4$
Step 4: $x^{2}-3x-4=0$
Step 5: $x^{2}+1x-4x-4=0$
Step 6: $x(x+1)-4(x+1)=8$
Step 7: $(x+1)(x-4)=0$
Step 8: $x=-1$ or $x=4$
Therefore, the solution set is {$-1,4$}.
