Exponential and Logarithmic Equations and Inequalities Practice Test

Sound level is $L=10\log_{10}(I/I_0)$, with $I_0=10^{-12},\text{W/m}^2$. If $L=70$ dB, determine the sound intensity $I$ in $\text{W/m}^2$.

A bacteria culture is modeled by $P(t)=800e^{0.15t}$, where $t$ is hours. Determine the population when $t=\frac{\ln(2)}{0.15}$, and interpret the result.