Given that 10^a=3

2012-02-03 7:35 pm
Given that 10^a=3 and 10^b=4.Then log(5/6)=?

回答 (1)

2012-02-03 7:49 pm
✔ 最佳答案
10^a = 3
log3 = a

10^b = 4
log4 = b
log(2^2) = b
2log2 = b
log2 = (b/2)

log(5/6)
= log5 - log6
= log(10/2) - log(2x3)
= (log10 - log2) - (log2 + log3)
= log10 - log2 - log2 - log3
= 1 - (b/2) - (b/2) - a
= 1 - a - b
參考: 賣火柴的女孩


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