(e^4)^xe^{x^2}=e^{12}

解答

(e^{4})^{x} e^{x^{2}} = e^{12}

x = 2, x = - 6

求解步骤

(e^{4})^{x} e^{x^{2}} = e^{12}

使用指数运算法则

4 x + x^{2} = 12

解

4 x + x^{2} = 12 : x = 2, x = - 6

x = 2, x = - 6

6^{x} = 5

so l v e f or k, \frac{n}{2 ^{k}} = 1

so l v e f or t, e^{k t} = \frac{1}{2}

2^{x - 3} = \frac{1}{32}

e^{4 x} = 9