15^{2x+3}=15^{x-7}

解答

1 5^{2 x + 3} = 1 5^{x - 7}

x = - 10

求解步骤

1 5^{2 x + 3} = 1 5^{x - 7}

使用指数运算法则

2 x + 3 = x - 7

解

2 x + 3 = x - 7 : x = - 10

x = - 10

3 e^{x} = 1 - 2 e^{0.5 x}

5 = 5^{x + 4}

e^{x + 1} = 0

6^{x} + 4 (6^{- x}) = 5

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