中四maths(請列程式)

2008-12-01 8:50 pm
1) log27
____

log 9 =?

2)log x
______

log √x =?

3) Log √ 27
___

2 =?

4) log 3√8
__________

Log 64 =?

5) 3log4+2log5-log16=?

回答 (1)

2008-12-01 10:45 pm
✔ 最佳答案
1)
log27 / log 9
=log 33 / log 32
=3 log 3 / 2 log 3
=3/2

2)
log x / log √x
=log x / log x1/2
=log x / (1/2 log x)
=2


3)
Log √ 27 / 2
= Log 271/2 / 2
=(1/2 Log 27) / 2
=Log 27 / 4

4)
log 3√8 / Log 64
=log √72 / Log 64


5) 3log4+2log5-log16
=log64 +log25 -log16
=log 1600 -log16
=log 100
=2
參考: 己會考


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