The number of people in intensive care is most certainly not growing exponentially. Please see the official statistics on https://portal.icuregswe.org/siri/report/vtfstart-corona . The number of patients admitted to intensive care daily has gone from 43 on the 23rd of March to 10 today.

The cumulative number of patients admitted to intensive care is 278, and since we had 510 intensive care before the start of the pandemic, that is not a problem at all.

Unless you have reason to believe that the ratio of patients requiring intensive care somehow has decreased radically during the course of the pandemic, the growth of cases is most certainly not exponential.