Find the exact solution to each of the following equations, writing your solution in terms of exponential or logarithmic expressions appropriately. Show your steps and thinking clearly. a) A can of soda is placed in a refrigerator and its temperature, in degrees Fahrenheit, can be modeled by the equation F(t)=40+27(0.94) t
, where t is measured in minutes. Find the exact time when the temperature of the can is 45 degrees Fahrenheit. b) Suppose the population of animals, in thousands, on a certain island after t years follows the logistic model p(t)= 1+3e −kt
24
​
. If we know that the population after 2 years is 8,000 animals, what is the exact value for k ?