Question: Express the equation in exponential form (a) log2 4 = 2. That is, write your answer in the form 24 = B. Then A

Express the equation in exponential form (a) log2 4 = 2. That is, write your answer in the form 24 = B. Then A = and B = (b) log5 125 = 3. That is, write your answer in the form 5 = D. Then C = and D = Use the product property of logarithms to write the following as a sum of logarithms. Assume all variables are positive. log(14x) = Write an exact answer, not a decimal approximation. If a hot object is placed in a cool environment, then, as time passes, the object's temperature will decrease, approaching the temperature of the environment. Newton's law of cooling makes this idea more precise. If the object has initial temperature To and the environment is kept at a constant temperature Te, then the relationship between the temperature T of the object and the amount of time t that has passed is given by the formula T = Te + (To Te)ekt - You remove a cup of tea from the microwave oven and it is too hot to drink. In fact, you measure its temperature to be 225 degrees Fahrenheit. You measure the temperature 4 minutes later and find it to be 200 degrees. If the temperature of your house is set to 68 degrees Fahrenheit, what is the constant k (rate ofcooling)?Round to 5 decimal places. k If the optimal temperature for tea is 180 degrees, how long will it take to reach that temperature? (Round to the nearest tenth) t minutes Hint: Use your formula and solve for t rather than k

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