Challenging Exponential Questions?

2016-03-04 3:49 am
If 60^a=3 and 60^b=5, then 12^((1-a-b)/(2(1-b)))=?

回答 (2)

2016-03-04 4:12 am
✔ 最佳答案
Method 1 (without using log)
http://s12.postimg.org/5ull8bnyz/image.png

Method 2
http://s27.postimg.org/ubdwq7ks1/image.png
2016-03-16 5:03 am
60^a=3
a=(log 3)/(log 60)

60^b=5
b=(log 5)/(log 60)

12^((1-a-b)/(2(1-b)))
=12^((1-(log 3)/(log 60) -(log 5)/(log 60))/2(1-(log 5)/(log 60))))
=2


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