Let $A={,x\in(0,\pi)-{\tfrac{\pi}{2}}: \log_{(2/\pi)}|\sin x|+\log_{(2/\pi)}|\cos x|=2,}$ and $B={,x\ge 0:\sqrt{x}(\sqrt{x}-4)-3|\sqrt{x}-2|+6=0,}$. Then $n(A\cup B)$ is equal to