Properly changing the time scale of a parameter in a growth model
These values are not absurd: it's just a different unit, it does not change the reality of th phenomenon.

The fact that your population can grow by a $48$ or $36~\mathrm{log}$ factor in one day, while the carrying capacity is $10^7$ bacteria, only means that the growth happens in less than one day (once the latency phase is over). Many bacterial population can grow in less than one day, it is not shocking.

In my opinion, it is not absurd to use the growth rates in $\mathrm{log}~ \textrm{bacteria} \cdot \textrm{day}^{-1}$. There is not need to rescale values if you just want to convert hours into days.