e^{-4k-10}= 67/6

解答

e^{- 4 k - 10} = \frac{67}{6}

k = - \frac{ln ( \frac{67}{6} ) + 10}{4}

十进制

k = - 3.10323 \dots

求解步骤

e^{- 4 k - 10} = \frac{67}{6}

使用指数运算法则

- 4 k - 10 = ln (\frac{67}{6})

解

- 4 k - 10 = ln (\frac{67}{6}) : k = - \frac{ln ( \frac{67}{6} ) + 10}{4}

k = - \frac{ln ( \frac{67}{6} ) + 10}{4}

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

(a^{3})^{6} = (a^{2})^{x}

so l v e f or x, 4^{x + 1} + 2^{y} = 20

so l v e f or t, (1.045)^{t} = 2

so l v e f or x, 1 0^{- 6 x} = 10 0^{3 - 2 x}