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受欢迎的代数 >

8=80(0.1)^x

解答

8 = 80 (0.1)^{x}

解答

x = - \frac{ln ( 10 )}{ln ( 0.1 )}

+1

十进制

x = 1

求解步骤

8 = 80 (0.1)^{x}

交换两边

80 \cdot 0. 1^{x} = 8

两边除以

80

0. 1^{x} = \frac{1}{10}

使用指数运算法则

x ln (0.1) = ln (\frac{1}{10})

解

x ln (0.1) = ln (\frac{1}{10}) : x = - \frac{ln ( 10 )}{ln ( 0.1 )}

x = - \frac{ln ( 10 )}{ln ( 0.1 )}

作图

流行的例子

e^{n - 4} + 4 = 82

50=10+60e^{0.5k}

50 = 10 + 60 e^{0.5 k}

4 = 20 (1 - 0.06)^{x}

5^{5 x + 4} = 35

0 = x + x e^{x}