[數學] Q1: e^4x + 3e^-4x=6 Q2: log(4^x -1) log(2^x +1)+1 Q3: (ln X)^2 = 3 ln x?

2015-10-04 1:02 pm

回答 (1)

2015-10-04 9:41 pm
✔ 最佳答案
1. y = e^(4x)

0 = e^(4x) + 3e^(-4x) - 6

= e^(8x) + 3 - 6e^(4x)

= y^2 - 6y + 3


y = 3 +- √(9 - 3) = 3 +- √6

4x = ln(3 +- √6)

x = [ln(3 +- √6)]/4



2. log(4^x -1) log(2^x +1)+1

沒有等號無法演算



3. y = ln(x)

0 = (ln X)^2 - 3 ln x

= y^2 - 3y

= y(y - 3)

y =\= 0

y = 3

x = e^3


收錄日期: 2021-04-18 00:22:38
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