3^{2x+2}=9^{10}

解答

3^{2 x + 2} = 9^{10}

x = 9

求解步骤

3^{2 x + 2} = 9^{10}

使用指数运算法则

2 x + 2 = 20

解

2 x + 2 = 20 : x = 9

x = 9

1000 = 2^{n}

9^{x - 1} - 3^{x - 2} = 8

5^{x} = 0

5^{x} + (3) \cdot (5^{x - 2}) = 140

2 \cdot 3^{\frac{1}{2 \cdot x + 2}} = 23.43