e^{2-3x}=4

解答

e^{2 - 3 x} = 4

x = \frac{- 2 ln ( 2 ) + 2}{3}

十进制

x = 0.20456 \dots

求解步骤

e^{2 - 3 x} = 4

使用指数运算法则

2 - 3 x = ln (4)

解

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

x = \frac{- 2 ln ( 2 ) + 2}{3}

3^{x} - 6 (3)^{x} - 27 = 0

2000 = 1000 (1 + 0.16)^{x}

7^{5 x + 10} = 7^{3 x - 4}

60 = 5 e^{2 x}

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