3^{15x-73}=3^{7x-1}

解答

3^{15 x - 73} = 3^{7 x - 1}

x = 9

求解步骤

3^{15 x - 73} = 3^{7 x - 1}

使用指数运算法则

15 x - 73 = 7 x - 1

解

15 x - 73 = 7 x - 1 : x = 9

x = 9

2^{4 - 3 x} = 1 6^{\frac{2}{5}}

4^{x - 1} = 2^{x} + 8

3 8^{x} = 65536

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

9^{x} - 4 (3^{x + 1}) + 27 = 0