3^{x+2}= 1/9

解答

3^{x + 2} = \frac{1}{9}

x = - 4

求解步骤

3^{x + 2} = \frac{1}{9}

使用指数运算法则

x + 2 = - 2

解

x + 2 = - 2 : x = - 4

x = - 4

e^{3 x - 1} = 8^{- 6 x - 1}

so l v e f or x, 2^{x} + 2^{- x} = 5

5^{2 x + 1} - 5^{x + 2} = 2500

(2^{x} - 8) (2^{x} - 1) = 0

2^{2 - x} - 4^{x} = - 15