e^{8x+4}=11e^{3x}

解答

e^{8 x + 4} = 11 e^{3 x}

x = \frac{ln ( 11 ) - 4}{5}

十进制

x = - 0.32042 \dots

求解步骤

e^{8 x + 4} = 11 e^{3 x}

使用指数运算法则

8 x + 4 = ln (11) + 3 x

解

8 x + 4 = ln (11) + 3 x : x = \frac{ln ( 11 ) - 4}{5}

x = \frac{ln ( 11 ) - 4}{5}

6^{x + 2} = \frac{1}{3 ^{x}}

3^{2 x - 2} + 7 = 4 (3^{x - 1} + 1)

so l v e f or y, 17 y e^{- x^{2} - y^{2}} - 34 x^{2} y e^{- x^{2} - y^{2}} = 0

9^{x} - 8 \times 3^{x} - 9 = 0

5^{4 x - 2} = 120