28. Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents. 16*+6 =256X-7 The solution set is 29. Solve the following exponential equation. Express the solution in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution. 53x+6 = 3X-7 The solution set expressed in terms of logarithms is (Use a comma to separate answers as needed. Simplify your answer. Use integers or fractions for any numbers in the expression. Use In for natural logarithm and log for common logarithm.) Now use a calculator to obtain a decimal approximation for the solution. The solution set is{ (Use a comma to separate answers as needed. Round to two decimal places as needed.) 30. Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. log 2 (x - 6) + log 2(x - 3) - log 2 X = 1 Rewrite the given equation without logarithms. Do not solve for x. Solve the equation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is ( Simplify your answer. Use a comma to separate answers as needed.) O B. There are infinitely many solutions . O C. There is no solution. 31. The half-life of the radioactive element unobtanium-53 is 10 seconds. If 48 grams of unobtanium-53 are initially present, how many grams are present after 10 seconds? 20 seconds? 30 seconds? 40 seconds? 50 seconds? The amount left after 10 seconds is grams. The amount left after 20 seconds is grams. The amount left after 30 seconds is grams. The amount left after 40 seconds is grams The amount left after 50 seconds is grams . (Round to one decimal place.) 32. The half-life of a certain tranquilizer in the bloodstream is 36 hours. How long will it take for the drug to decay to 95% of the original dosage? Use the exponential decay model, A = Apekt, to solve. hours (Round to one decimal place as needed.)