e^{7x+7}=7e^{7-x}

解答

e^{7 x + 7} = 7 e^{7 - x}

x = \frac{ln ( 7 )}{8}

十进制

x = 0.24323 \dots

求解步骤

e^{7 x + 7} = 7 e^{7 - x}

使用指数运算法则

7 x + 7 = ln (7) + 7 - x

解

7 x + 7 = ln (7) + 7 - x : x = \frac{ln ( 7 )}{8}

x = \frac{ln ( 7 )}{8}

(\frac{2}{3})^{x} = 2^{x - 1}

27 (3^{2 x}) + 80 (3^{x}) - 3 = 0

so l v e f or x, e^{y - x^{2}} = 0

so l v e f or x, e^{y - x^{2}} = k

3^{x - 2} = 2^{x}