log問題x2,急!20分.

2010-11-01 12:44 am
1. If log a = 0.4771, log b = 1.4771 and log c = -2.5229, express b and c in
terms of a .

2. Given that 10^x = y , 10^log y = 10^x = y, evaluate 10^4log(開方3)

要steps+解釋

thx a lot!!!

回答 (2)

2010-11-01 1:27 am
✔ 最佳答案
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圖片參考:http://img502.imageshack.us/img502/6923/logp.png


2010-10-31 17:28:37 補充:
http://img502.imageshack.us/img502/6923/logp.png
2010-11-01 1:15 am
1. logb = 1 + loga
logb = log10 + loga
logb = log10a
b = 10a
Also, logc = loga - 3
logc = loga - log1000 (3 = 3log10 = log10^3 = log1000)
logc = log(a/1000)
c = a/1000

2. 10^(4logsqrt3)
= 10^log9 (4logsqrt3 = log[(sqrt3)^4] = log9)
= 9 (using 10^logy = y)
參考: me


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