49^{p+1}=343^{2p}

解答

4 9^{p + 1} = 34 3^{2 p}

p = \frac{1}{2}

十进制

p = 0.5

求解步骤

4 9^{p + 1} = 34 3^{2 p}

使用指数运算法则

2 (p + 1) = 6 p

解

2 (p + 1) = 6 p : p = \frac{1}{2}

p = \frac{1}{2}

0.9 8^{x} = 1.6

9^{(x^{2})} = 3^{3 x + 2}

2^{y} = 10

7^{3 x + 1} = 5^{x}

(\frac{1}{4})^{x} + (\frac{1}{2})^{x} - 6 = 0