代數與最小值 (2)
回答 (1)
2015-06-03 3:40 am
✔ 最佳答案
(a) (3 ‒ √3)ⁿ>10⁹
log(3 ‒ √3)ⁿ>log10⁹
n*log(3 ‒ √3)>9
n>9/log(3-√3)
n>87.29...
So, the smallest possible value of n is 88
(b)
If n=300, P=(3 ‒ √3)^300
10ⁿ⁻¹ < (3 ‒ √3)^300 < 10ⁿ
log10ⁿ⁻¹ < log(3 ‒ √3)^300 < log10ⁿ
n-1 < 300* log(3 ‒ √3) < n
n-1< 30.93 < n
So, n is 31
收錄日期: 2021-04-12 00:11:23
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20150602000051KK00062