若2n=㏒₂3 則 2³ⁿ+2⁻³ⁿ/2ⁿ+2⁻ⁿ =?

2018-01-11 10:10 am

回答 (1)

2018-01-11 10:39 am
✔ 最佳答案
Sol
2n=log2_3
2^(2n)=2^(log2_3)=3
A=[2^(3n)+2^(-3n)]/[2^n+2^(-n)]
=[2^(4n)+2^(-2n)]/[2^(2n)+1]
=(9+1/3)/(3+1)
=(27+1)/(9+3)
=28/12
=7/3


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