The inactivation rate of a viral preparation is proportional to the amount of virus. In the first minute after preparation, 10% of the virus is inactivated. The rate constant for viral inactivation is ___________ \(\times 10^{-3}\) \(\mathrm{min^{-1}}\). (Nearest integer)
[Use : \(\ln 10 = 2.303\); \(\log_{10} 3 = 0.477\); property of logarithm : \(\log x^y = y \log x\)]