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![Using Properties of Exponents Given the exponential
function f(x) = a*, show that
(a) f(u + v) = f(u) • f(v).
(b) f(2x) = [f(x)]°.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92fee5c3-6412-4e51-a549-8bf60b4ea25e%2F344e5ced-2129-49f8-98f4-de727255ae3c%2F25cetkj_processed.jpeg&w=3840&q=75)
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- The initial size of a population is 1000, and it has the given instantaneous growth or decay rate per year. −85% (a) Find an exponential model f(x) = Cerx for the population, where x is measured in years.f(x) =Logs of logs Compare the growth rates of ln x, ln(ln x), and ln(ln(ln x)).Differrentiate:y=(sin(x^2-2t))^3-(log2(x^0.5))/(x*(e^(x^2)))
- limx→+∞ ( e^x+e^−x) / (e^x−e^−x)LIMIT OF EXPONENTIAL FUNCTION 3x+5x5x-_3x 4x-1 1+x21-y2 log2x+3x-2 Imagine that you are a local government leader in your municipality. How can you use exponential functions as basis for making significant decisions in line with your role? You may choose one aspect or issue in your municipality to ilustrate your answer. In which aspect or situation in your academic life can you relate the concept of the limit of logarithmic fuctions? How does this topic influence your positive outlook in life?The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours. Write an exponential growth model for the bacteria population. Let t represent the time in hours?