試求log2（2是小的） 9乘log3（3是小的 ）的8，的值為何？
回答 (2)
2016-06-20 11:54 am
log₂(9) × log₃(8)
= log(9)/log(2) × log(8)/log(3)
= log(3²)/log(2) × log(2³)/log(3)
= 2log(3)/log(2) × 3log(2)/log(3)
= 2 × 3
= 6.
= log(9)/log(2) × log(8)/log(3)
= log(3²)/log(2) × log(2³)/log(3)
= 2log(3)/log(2) × 3log(2)/log(3)
= 2 × 3
= 6.
2016-06-21 2:51 am
log₂(9) × log₃(8)
=[(2 log 3)/(log 2)][(3 log 2)/(log 3)]
=6
=[(2 log 3)/(log 2)][(3 log 2)/(log 3)]
=6
收錄日期: 2021-04-18 15:14:02
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20160620035137AAC0lXm