2^{x+1}=(100)/(0.125)

解答

2^{x + 1} = \frac{100}{0.125}

x = \frac{ln ( \frac{100}{0.125} )}{ln ( 2 )} - 1

十进制

x = 8.64385 \dots

求解步骤

2^{x + 1} = \frac{100}{0.125}

使用指数运算法则

(x + 1) ln (2) = ln (\frac{100}{0.125})

解

(x + 1) ln (2) = ln (\frac{100}{0.125}) : x = \frac{ln ( \frac{100}{0.125} )}{ln ( 2 )} - 1

x = \frac{ln ( \frac{100}{0.125} )}{ln ( 2 )} - 1

120 = \frac{3000}{1 + 59 e ^{- b (5)}}

e^{x + 4} = 6

9^{x} = \frac{1}{9 ^{2}}

400 = 150 \cdot 1.0 5^{x}

(x + 1)^{x^{2} - 4} = (x + 1)^{2 - x}