3^{4x-2}=27^{x+4}

解答

3^{4 x - 2} = 2 7^{x + 4}

x = 14

求解步骤

3^{4 x - 2} = 2 7^{x + 4}

使用指数运算法则

4 x - 2 = 3 (x + 4)

解

4 x - 2 = 3 (x + 4) : x = 14

x = 14

2^{3 x + 9} = 1 6^{3 x + 1}

\frac{3 ^{10}}{9 ^{x}} = 2 7^{6}

6^{2 x - 4} = 1

4^{x} = 37

4^{x} = 19