(2.1^{-8})^3=80.1^a

解答

(2. 1^{- 8})^{3} = 80. 1^{a}

a = - \frac{24 ln ( 2.1 )}{ln ( 80.1 )}

十进制

a = - 4.06237 \dots

求解步骤

(2. 1^{- 8})^{3} = 80. 1^{a}

使用指数运算法则

- 8 \cdot 3 ln (2.1) = a ln (80.1)

解

- 8 \cdot 3 ln (2.1) = a ln (80.1) : a = - \frac{24 ln ( 2.1 )}{ln ( 80.1 )}

a = - \frac{24 ln ( 2.1 )}{ln ( 80.1 )}

9^{3 x} = (\frac{1}{3})^{2 x - 1}

2^{x} = \frac{2}{3}

8^{9 x + 1} = 2^{x^{2} + 29 x}

so l v e f or x, y = {e^{- 2 x}}

so l v e f or p, \frac{2 ^{x - 2} \cdot 1}{2} = p (x)^{x - 3}