logarithm question?

2016-05-05 9:36 pm

(econometrics)

Why is log(X1/X0) = log(1+((X1-X0)/Xo))

??

更新1:

Why is log(X1/X0) = log(1+((X1-X0)/X0))

回答 (4)

2016-05-05 9:42 pm

Because X1/X0 = 1 +(X1 -X0)/X0
(X1 -X0)/X0 = X1/X0 -1
So 1 +(X1 -X0)/X0 = 1 +X1/X0 -1= X1/X0

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2016-05-05 9:40 pm

Because 1+((X1-X0)/X0) simplifies (without any logarithms) to X1/X0.

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2016-05-05 9:51 pm

Idk

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2016-05-05 9:37 pm

You are a pig

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