Answer:
[tex]k = -44.63[/tex]
Step-by-step explanation:
The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So
[tex]16e^{-0.01k} = 25[/tex]
[tex]e^{-0.01k} = \frac{25}{16}[/tex]
The ln is the interse operation to the exponential, so we apply the ln to both sides of the equality.
[tex]\ln{e^{-0.01k}} = \ln{\frac{25}{16}}[/tex]
[tex]-0.01k = 0.4463[/tex]
[tex]k = -\frac{0.4463}{0.01}[/tex]
[tex]k = -44.63[/tex]
