A metal is heated in a furnace where a sensor is kept above the metal surface to read the power radiated (P) by the metal. The sensor has a scale that displays $\log _2\left(P / P_0\right)$ where $P_0$ is a constant. When the metal surface is at a temperature of $487^{\circ} \mathrm{C}$, the sensor shows a value 1 . Assume that the emissivity of the metallic surface ramins constant. What is the value displayed by the sensor when the temperature of the metal surface is raised to $2767^{\circ} \mathrm{C}$ ?