F.5 Math Quadratic Equation

2012-10-02 7:57 am
(2+log x)(3-log x)=4

回答 (1)

2012-10-02 10:47 am
✔ 最佳答案
(2 + log x)(3 - log x) = 4

2(3 - log x) + log x(3 - log x) = 4

6 - 2log x + 3log x - (log x)² =4

(log x)² - log x - 2 = 0

(log x - 2)(log x + 1) = 0

log x = 2 or log x = -1

x = 10^2 or x = 10^-1

x = 100 or x = 0.1
參考: micatkie


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