4^{x+3}=8^{3x-4}

解答

4^{x + 3} = 8^{3 x - 4}

x = \frac{18}{7}

求解步骤

4^{x + 3} = 8^{3 x - 4}

使用指数运算法则

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

解

2 (x + 3) = 3 (3 x - 4) : x = \frac{18}{7}

x = \frac{18}{7}

3^{2 x - 3} = 6

2^{x - 3} = 5

9 (5^{x}) = 8^{x + 4}

5^{6 x + 1} - 6 \cdot 5^{3 x} + 1 = 0

(2)^{x} = 16