指數對數的題目求解?

2016-10-25 7:21 am

回答 (1)

2016-10-25 8:13 am
✔ 最佳答案
Sol
logx_27-2log3_x=5
log27/logx-2logx/log3=5
Set p=logx
3log3/p-2p/log3=5
3(log3)^2-2p^2=5log3p
2p^2-5log3p-3(log3)^2=0
(2p+log3)(p-3log3)=0
p=-log3/2 or p=3log3
(1)
p=-log3/2
logx=-log3/2
2logx=-log3
x^2=1/3
x=√3/3 (負不合
(2)
p=3log3
logx=log27
x=27


收錄日期: 2021-04-30 21:54:38
原文連結 [永久失效]:
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