請問各位大大，第(5)題數學該如何解?
回答 (1)
2018-01-15 7:08 am
Sol
A=log2/log3
1/A=log3/log2
log3_4=log4/log3=2log2/log3=2A
log27_16=log16/log27=(4/3)*(log2/log3)=4A/3
log4_9=log9/log4=log3.log2=1/A
log16_3=log3/(4log2)=1/(4A)
(2A－4A/3)*[1/A－1/(4A)]
=(2－4/3)*(1－1/4)
=(2/3)*(3/4)
=1/2
A=log2/log3
1/A=log3/log2
log3_4=log4/log3=2log2/log3=2A
log27_16=log16/log27=(4/3)*(log2/log3)=4A/3
log4_9=log9/log4=log3.log2=1/A
log16_3=log3/(4log2)=1/(4A)
(2A－4A/3)*[1/A－1/(4A)]
=(2－4/3)*(1－1/4)
=(2/3)*(3/4)
=1/2
收錄日期: 2021-04-30 22:39:02
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20180114132824AArZSYU