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6. (Numerical Analysis) Develop, test, and execute a C++ program that uses a while loop to determine the smallest integer power of 3 that exceeds

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6. (Numerical Analysis) Develop, test, and execute a C++ program that uses a while loop to determine the smallest integer power of 3 that exceeds 30,000. That is, find the smallest value of n so that 3" > 30,000. (Hint: Initialize PowerOfThree = 1, and then accumulate the expression Powerofthree = 3 * PowerOfThree.)

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