Solve the exponential equation. Write the exact answer with natural logarithms and then approximate the result correct to three decimal places. 103x +5 =21 . . . Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The exact answer(s) with natural logarithms is/are x = (Type an exact answer in simplified form. Type an integer or a fraction. Use a comma to separate answers as needed.) The approximate answer(s) is/are X ~ (Simplify your answer. Type an integer or a decimal. Round to three decimal places as needed. Use a comma to separate answers as needed.) O B. There is no solution. The solution set is the empty set, O.16 Let f(x) = 3 + ap kx With f(0) = 2 and f(1) = 7 Find a and k and then evaluate the function f(3). The value of a is J. (Type an integer or decimal rounded to three decimal places as needed.) The value of k is .(Type an exact answer in simplified form. Type an integer or a fraction.) f(3) = (Type an integer or decimal rounded to three decimal places as needed.)40,000 The number of people in a community who became infected during an epidemic t weeks after its outbreak is given by the function t) 2 _ kt . where 40.000 1+az people of the community are susceptible to the disease. Assume that 5000 people were infected initially and 3574 had been infected by the end of the fourth week. Complete parts a. and b.. a. Find the number of people infected after 3 weeks. (Simplify your answer. Do not round until the nal answer. Then round to the nearest whole number as needed.) b. After how many weeks will 10,955 people be infected? weeks (Simplify your answer. Do not round until the nal answer. Then round to the nearest whole number as needed.) Negative ionsr designated by the notation [OH '1 are always present in any acid or base. The concentration, [0H _ ] of these ions is related to [H +] by the equation [OH:I - [H+] = 10 M moles per liter. Find the concentrations of [OH'] and [H+] in moles per titer tor the substances with the given pH value. pH=1 The concentration of [H +] is moles per liter. (Type your answer using exponential notation.) The concentration of [OH1 is moles per liter. (Type your answer using exponential notation.) Watch the video and then solve the problem given below. Click here to watch the video. Find the standard form of the equation of a hyperbola with vertices (0, + 12) and foci (0, # 13). . . . The standard form of the hyperbola is (Type an equation. Type your answer in standard form.)Find an equation (in standard form) for the hyperbola whose graph is shown to Center Ay the right. (-2,1) . . . Focus The standard equation for the hyperbola is Vertex (2, 1) (-4.1) X (Simplify your answer. Use integers or fractions for any numbers in the equation.)Find x and y. 0 - 3X 0 12 = -6 -4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. x = ,y= O B. There is no solution