7^{3x}=3^{2-x}

解答

7^{3 x} = 3^{2 - x}

x = \frac{2 ln ( 3 )}{ln ( 1029 )}

十进制

x = 0.31676 \dots

求解步骤

7^{3 x} = 3^{2 - x}

使用指数运算法则

3 x ln (7) = (2 - x) ln (3)

解

3 x ln (7) = (2 - x) ln (3) : x = \frac{2 ln ( 3 )}{ln ( 1029 )}

x = \frac{2 ln ( 3 )}{ln ( 1029 )}

so l v e f or x, 3^{2 x} + 2 \cdot 3^{x + 1} = 16

5^{2 x - 3} = 3^{3 x + 4}

2 x e^{x^{2}} = 0

4^{x^{2} + 2} - 9 \cdot 2^{x^{2} + 2} + 8 = 0

3^{x} + x = 30