Question 694775: What is the smallest integer value of k such that (1/2)to the power of k < 0.001? Found 2 solutions by stanbon, MathTherapy:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! What is the smallest integer value of k
such that (1/2)to the power of k < 0.001?
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Solve (1/2)^k < 0.001
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Take the log of both sides:
k(log(1/2)) < log0.001
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k < -3/log(1/2)
k < 9.9658
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Ans: k = 9
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Cheers,
Stan H.