Sucrose hydrolyses in acid solution into glucose and fructose following first order rate law with a half-life of 3.33 h at 25°C. After 9 h, the…

Sucrose hydrolyses in acid solution into glucose and fructose following first order rate law with a half-life of $\displaystyle 3.33$ h at $\displaystyle 25$°C. After $\displaystyle 9$ h, the fraction of sucrose remaining is $\displaystyle f$. The value of $\displaystyle \log _{10}\left(\frac{1}{f}\right)$ is \_\_\_\_ $\displaystyle \times 10^{-2}$. (Rounded off to the nearest integer) [Assume : $\displaystyle \ln 10=2.303, \ln 2=0.693$ ]