指數方程一條問題!

2010-02-18 6:39 am
8^x+2 = 2^2x+1 / 4^1-x

答案:x=7

求步驟

回答 (1)

2010-02-18 6:47 am
✔ 最佳答案
8^(x+2) = 2^(2x+1) / 4^(1-x)
(2^3)^(x+2) = 2^(2x+1) / (2^2)^(1-x)
2^(3x+6) = 2^(2x+1) / 2^(2-2x)
2^(3x+6) = 2 ^ [ (2x+1) - (2-2x) ]
2^(3x + 6) = 2 ^ (4x - 1)
3x + 6 = 4x - 1
x = 7


收錄日期: 2021-04-21 22:08:15
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