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2011-02-13 3:53 am
If (4 root 5^x)(即4開方5^x)=10find the values of the following expression without
finding the values of x
a.)5^x
b.)125^x/4

回答 (3)

2011-02-13 4:00 am
✔ 最佳答案
a) 4√5^x = 10
√5^x = 5/2
5^x = 25/4

b) 125^x / 4
= (5^x)^3 / 4
= (25/4)^3 / 4
= 15625/256
參考: Knowledge is power.
2011-02-14 12:04 am
a.) If 4 root 5^x=10
root 5^x=10/4
root 5^x=5/2
5^x=(5/2)^2
=25/4

b.) as 5^x=25/4 [solve at a.)]
125^x/4
=(5^x)^3/4
=(25/4)^3/4
=15625/256

I hope I can help you!
參考: MYSELF
2011-02-13 4:11 am
a) 4√5^x = 10
√5^x = 5/2
5^x = 25/4

b) 125^x / 4
= (5^x)^3 / 4
= (25/4)^3 / 4
= 15625/256


收錄日期: 2021-04-21 15:55:51
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