Linear, Quadratic, and Exponential Models: Solving Exponential Equations with Logarithms (CCSS.F-LE.4) Practice Test

Solve $3\cdot 10^{2t}=0.24$. What is the solution for $t$? Round to 3 decimals.

Context: A medication decays by half every 6 hours. The amount follows $A(t)=200\cdot 2^{-t/6}$. How long until only 30 mg remain? Solve for $t$ in hours. Round to three decimal places. What is the solution for $t$?