e^{-0.3t}=125

解答

e^{- 0.3 t} = 125

t = - \frac{3 ln ( 5 )}{0.3}

十进制

t = - 16.09437 \dots

求解步骤

e^{- 0.3 t} = 125

使用指数运算法则

- 0.3 t = ln (125)

解

- 0.3 t = ln (125) : t = - \frac{3 ln ( 5 )}{0.3}

t = - \frac{3 ln ( 5 )}{0.3}

35 = 21 + 1079 (e^{- 19028 x})

e^{x} \cdot x = 0

2 5^{x + 3} = 5^{x - 1}

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

5^{(x)} + 5^{(5 - x)} = 150