Ricky and Blake are performing a thought experiment. They are trying to figure out how long it would take to reach a million dollars if they were to start with just $5 and double their money every week. They solve the problem differently, as shown below: Ricky's Method Blake's Method: 5- 2" 1000000 5- 2" = 1000000 log(5 · 2") = log(1000000) 2" = 200000 log(5) + w log(2) = 6 w log(2) = log(200000) 6 – log(5) log(200000) log(2) w = w = log(2) 17.6096 w = 17.6096 Compare/contrast their methods. Which laws of exponents did each student use in their chosen approach? Which method do you prefer? Justify your answer by explaining a benefit of your chosen method or a drawback of the other method. Your explanation should demonstrate specific knowledge about evaluating logarithms or about logarithmic properties (For example, simply stating that someone's method is "easier," "faster," or "shorter" is too vague).

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