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受欢迎的代数 >

ln^2(x)=1

解答

ln^{2} (x) = 1

解答

x = e, x = \frac{1}{e}

+1

十进制

x = 2.71828 \dots, x = 0.36787 \dots

求解步骤

ln^{2} (x) = 1

用

ln (x) = u

改写方程式

u^{2} = 1

解

u^{2} = 1 : u = 1, u = - 1

u = 1, u = - 1

代回

u = ln (x)

，求解

x

解

ln (x) = 1 : x = e

解

ln (x) = - 1 : x = \frac{1}{e}

x = e, x = \frac{1}{e}

验证解:

x = e

真

, x = \frac{1}{e}

真

解为

x = e, x = \frac{1}{e}

作图

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