6^{x-1}=8^{2-x}

解答

6^{x - 1} = 8^{2 - x}

x = \frac{ln ( 384 )}{ln ( 48 )}

十进制

x = 1.53715 \dots

求解步骤

6^{x - 1} = 8^{2 - x}

使用指数运算法则

(x - 1) ln (6) = (2 - x) ln (8)

解

(x - 1) ln (6) = (2 - x) ln (8) : x = \frac{ln ( 384 )}{ln ( 48 )}

x = \frac{ln ( 384 )}{ln ( 48 )}

2 (5^{x}) = 32

e^{2 x} - 12 e^{x} + 11 = 0

64 x 8^{x} = 8^{11}

3 3^{x - 5} = 27

3 e^{2 x} - 4 e^{- 2 x} = 5