## Precalculus (6th Edition) Blitzer

Yes, $187.993$ decibels
We need to plug in the intensity level as given in the statement into the formula for decibels. We have $10 \log [(10^{12}) (6.3 \times 10^6)]$ Re-written as: $10 \log (6.3 \times 10^{18})$ Now, use a calculator to find the logarithmic value So, we have $10 \log (6.3 \times 10^{18})=187.993$ decibels Thus, our result is: $187.993$ decibels, which can rupture the human eardrum.