4^{2x+6}=64^{2x-4}

解答

4^{2 x + 6} = 6 4^{2 x - 4}

x = \frac{9}{2}

十进制

x = 4.5

求解步骤

4^{2 x + 6} = 6 4^{2 x - 4}

使用指数运算法则

2 x + 6 = 3 (2 x - 4)

解

2 x + 6 = 3 (2 x - 4) : x = \frac{9}{2}

x = \frac{9}{2}

5^{x} = 16

e^{x} + 15 e^{- x} - 8 = 0

3^{x - 9} = 8 1^{5 x + 1}

3^{1 - 2 x} = 243

2^{x} + 2^{x + 1} = \frac{3}{2}