Answer:
t= 41.2 minutes
Step-by-step explanation:
[tex]16=290(0.5)^{\frac{t}{10} }[/tex]
Divide by 290 to get the exponential expression alone
[tex]\frac{16}{290} \\\frac{8}{145}=(.0.5)^{t/10}[/tex]
Use Logs to solve
[tex]x=a^{y}[/tex] is equal to [tex]y=log_{a} x[/tex]
[tex]\frac{t}{10} =log_{0.5} \frac{8}{145}[/tex] (put in calculator)
[tex]\frac{t}{10} = 4.18[/tex]
t= 41.2 minutes
