9^{3x-12}=(3)^{2x}

解答

9^{3 x - 12} = (3)^{2 x}

x = 6

求解步骤

9^{3 x - 12} = (3)^{2 x}

使用指数运算法则

2 (3 x - 12) = 2 x

解

2 (3 x - 12) = 2 x : x = 6

x = 6

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

(\frac{1}{9})^{x - 5} = 27

5 = 1 5^{2 - 0.01 q}

e^{x} - 6 e^{x} - 1 = 0

0 = 3 e^{3 x} (10 - 6 x) + e^{3 x} (- 6)