49^{-5x+2}=16807^{x-14}

解答

4 9^{- 5 x + 2} = 1680 7^{x - 14}

x = \frac{74}{15}

十进制

x = 4.93333 \dots

求解步骤

4 9^{- 5 x + 2} = 1680 7^{x - 14}

使用指数运算法则

2 (- 5 x + 2) = 5 (x - 14)

解

2 (- 5 x + 2) = 5 (x - 14) : x = \frac{74}{15}

x = \frac{74}{15}

so l v e f or x, 9^{1 - 7 x} = 24 3^{x - 11}

(3^{4})^{3} = 2 7^{x}

\frac{4 ^{2 x}}{4 ^{x}} = 64

2^{x} - 2^{x - 3} = 14

9^{x + 8} = 11