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Express each expression as I single logarithm In simplest lorm. e) 2 Inn in (lngn + 3 loan) b) 2|ug(.r + 1) + log(x 1)-lng(.\\'2 1) The diagram shows part of the graph ofy = log, (x a) where a. be N When the original function was y = log, 1 , use the points on the graph and your knowledge of transformations to determine the value of a + 3b. Solve each equation for the value of x a) log, 16 = 4 7"+1 = 4\"\" c) 42m : got-r) zlogstx 3) = 1085(4) e) log2(x -4) = 4 log2(x + 2) NIH f) 1034 (x + 2) " log4(x 4) = 7. The estimated number of bacteria present in a certain culture after t hours is given by N(t) = C(2)'/d, where C is the initial number of bacteria, t is the time and d is the doubling period. A particular culture of 100 has a doubling period of 2 hr. Find the time required to reach 30 000. Express your answer to the nearest tenth of an hour