4. Solve the logarithmic equations using algebra and the properties of logarithms. Find exact so- lutions. Do not estimate. Note: a graph will not serve as justification for you answer, although it might be useful to check your answer. (a) log32(4) = (b) In(x - 1) = 2 (c) Inc + In(x + 1) = In(3 -z)5. After taking 200 milligrams of a certain medication the number of milligrams remaining after t hours is modeled by the equation A[t) = 20090'55t. Use this information to answer the following questions. (a) How much of the medication will be in the patient's body after 4 hours? Round your answer to one decimal place and use correct units. (b) After how many hours will there be only 10 milligrams remaining in the patient's body? Round your answer to one decimal place and use correct units. (c) What is the half-life of this medication? Provide an exact answer [not a decimal approxi- mation) and use correct units