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N is positive integer, 3^(-n/2) < 1/81, N

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N is positive integer, 3^(-n/2) < 1/81, N [#permalink] New post 26 Oct 2006, 20:05
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N is positive integer, 3^(-n/2) < 1/81, N ?
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 [#permalink] New post 26 Oct 2006, 23:47
Agree with Tennis_Ball :)

3^(-n/2) < 1/81
<=> 3^(-n/2) < 3^(-4)
=> ln(3^(-n/2)) < ln(3^(-4)) as the ln fonction increases when x increases
<=> (-n/2)*ln(3) < (-4)*ln(3)
<=> -n/2 < -4
<=> n > 8
  [#permalink] 26 Oct 2006, 23:47
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N is positive integer, 3^(-n/2) < 1/81, N

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