4^{2x+3}=8^{x+5}

解答

4^{2 x + 3} = 8^{x + 5}

x = 9

求解步骤

4^{2 x + 3} = 8^{x + 5}

使用指数运算法则

2 (2 x + 3) = 3 (x + 5)

解

2 (2 x + 3) = 3 (x + 5) : x = 9

x = 9

8^{4 n - 2} = 4^{3 n + 3}

(x^{2} - 5) (e^{x} - 5) = 0

16 = 2^{x - 2}

2^{x + 1} - 2^{x - 1} - 8 = 0

4^{5 - 9 x} = \frac{1}{8 ^{x - 2}}