Question 6 (a) A survey is carried out on the population of foxes on an island. The number of foxes, N, after t years from when the survey began is given by the formula N = = 370e0.05t (0 ≤ t ≤ 10) Find how many years it takes for the population to reach 452 foxes. Find also the rate of increase in the number of foxes after 6 years. (b) Solve the equation 8 3 log₂x + log2 ( 1²1 - 1²/12 + 1²/13 ) = 4(x > 0)

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